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Finding the Fourth Proportional to 7,732.64, 10,678.60 and 6,607

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Solution

The fourth proportional to 7,732.64, 10,678.60 and 6,607 is: 9,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.64 : 10,678.60 = 6,607 : x
  2. Step 2: Convert to fraction form
    7,732.64/10,678.60 = 6,607/x
  3. Step 3: Cross multiply
    7,732.64x = 10,678.60 × 6,607
  4. Step 4: Simplify right side
    7,732.64x = 70,553,510.20
  5. Step 5: Solve for x
    x = 70,553,510.20/7,732.64
  6. Step 6: Final answer
    x = 9,124.12

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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.