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Finding the Fourth Proportional to 7,772.52, 10,713.96 and 5,779.92

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Solution

The fourth proportional to 7,772.52, 10,713.96 and 5,779.92 is: 7,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.52 : 10,713.96 = 5,779.92 : x
  2. Step 2: Convert to fraction form
    7,772.52/10,713.96 = 5,779.92/x
  3. Step 3: Cross multiply
    7,772.52x = 10,713.96 × 5,779.92
  4. Step 4: Simplify right side
    7,772.52x = 61,925,831.68
  5. Step 5: Solve for x
    x = 61,925,831.68/7,772.52
  6. Step 6: Final answer
    x = 7,967.28

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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.