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Finding the Fourth Proportional to 9,965.82, 14,920.62 and 5,275.20

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Solution

The fourth proportional to 9,965.82, 14,920.62 and 5,275.20 is: 7,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.82 : 14,920.62 = 5,275.20 : x
  2. Step 2: Convert to fraction form
    9,965.82/14,920.62 = 5,275.20/x
  3. Step 3: Cross multiply
    9,965.82x = 14,920.62 × 5,275.20
  4. Step 4: Simplify right side
    9,965.82x = 78,709,254.62
  5. Step 5: Solve for x
    x = 78,709,254.62/9,965.82
  6. Step 6: Final answer
    x = 7,897.92

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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.