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Finding the Fourth Proportional to 7,711.52, 10,641.80 and 4,354.47

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Solution

The fourth proportional to 7,711.52, 10,641.80 and 4,354.47 is: 6,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.52 : 10,641.80 = 4,354.47 : x
  2. Step 2: Convert to fraction form
    7,711.52/10,641.80 = 4,354.47/x
  3. Step 3: Cross multiply
    7,711.52x = 10,641.80 × 4,354.47
  4. Step 4: Simplify right side
    7,711.52x = 46,339,377.07
  5. Step 5: Solve for x
    x = 46,339,377.07/7,711.52
  6. Step 6: Final answer
    x = 6,009.11

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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.