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Finding the Fourth Proportional to 7,814.98, 10,784.70 and 4,278.22

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Solution

The fourth proportional to 7,814.98, 10,784.70 and 4,278.22 is: 5,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.98 : 10,784.70 = 4,278.22 : x
  2. Step 2: Convert to fraction form
    7,814.98/10,784.70 = 4,278.22/x
  3. Step 3: Cross multiply
    7,814.98x = 10,784.70 × 4,278.22
  4. Step 4: Simplify right side
    7,814.98x = 46,139,319.23
  5. Step 5: Solve for x
    x = 46,139,319.23/7,814.98
  6. Step 6: Final answer
    x = 5,903.96

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.