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Finding the Fourth Proportional to 7,815, 10,784.69 and 4,278.24

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Solution

The fourth proportional to 7,815, 10,784.69 and 4,278.24 is: 5,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 10,784.69 = 4,278.24 : x
  2. Step 2: Convert to fraction form
    7,815/10,784.69 = 4,278.24/x
  3. Step 3: Cross multiply
    7,815x = 10,784.69 × 4,278.24
  4. Step 4: Simplify right side
    7,815x = 46,139,470.75
  5. Step 5: Solve for x
    x = 46,139,470.75/7,815
  6. Step 6: Final answer
    x = 5,903.96

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Half scale
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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.