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Finding the Fourth Proportional to 7,814.84, 10,784.48 and 4,278.27

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Solution

The fourth proportional to 7,814.84, 10,784.48 and 4,278.27 is: 5,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.84 : 10,784.48 = 4,278.27 : x
  2. Step 2: Convert to fraction form
    7,814.84/10,784.48 = 4,278.27/x
  3. Step 3: Cross multiply
    7,814.84x = 10,784.48 × 4,278.27
  4. Step 4: Simplify right side
    7,814.84x = 46,138,895.86
  5. Step 5: Solve for x
    x = 46,138,895.86/7,814.84
  6. Step 6: Final answer
    x = 5,904.01

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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.