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Finding the Fourth Proportional to 8,920.16, 13,384.80 and 3,659

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Solution

The fourth proportional to 8,920.16, 13,384.80 and 3,659 is: 5,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.16 : 13,384.80 = 3,659 : x
  2. Step 2: Convert to fraction form
    8,920.16/13,384.80 = 3,659/x
  3. Step 3: Cross multiply
    8,920.16x = 13,384.80 × 3,659
  4. Step 4: Simplify right side
    8,920.16x = 48,974,983.20
  5. Step 5: Solve for x
    x = 48,974,983.20/8,920.16
  6. Step 6: Final answer
    x = 5,490.37

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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.