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Finding the Fourth Proportional to 10,616.88, 15,919.15 and 7,807.40

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Solution

The fourth proportional to 10,616.88, 15,919.15 and 7,807.40 is: 11,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.88 : 15,919.15 = 7,807.40 : x
  2. Step 2: Convert to fraction form
    10,616.88/15,919.15 = 7,807.40/x
  3. Step 3: Cross multiply
    10,616.88x = 15,919.15 × 7,807.40
  4. Step 4: Simplify right side
    10,616.88x = 124,287,171.71
  5. Step 5: Solve for x
    x = 124,287,171.71/10,616.88
  6. Step 6: Final answer
    x = 11,706.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.