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Finding the Fourth Proportional to 7,102.32, 9,807.24 and 6,785.52

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Solution

The fourth proportional to 7,102.32, 9,807.24 and 6,785.52 is: 9,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.32 : 9,807.24 = 6,785.52 : x
  2. Step 2: Convert to fraction form
    7,102.32/9,807.24 = 6,785.52/x
  3. Step 3: Cross multiply
    7,102.32x = 9,807.24 × 6,785.52
  4. Step 4: Simplify right side
    7,102.32x = 66,547,223.16
  5. Step 5: Solve for x
    x = 66,547,223.16/7,102.32
  6. Step 6: Final answer
    x = 9,369.79

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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.