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Finding the Fourth Proportional to 9,689.95, 14,541.30 and 5,310.48

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Solution

The fourth proportional to 9,689.95, 14,541.30 and 5,310.48 is: 7,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.95 : 14,541.30 = 5,310.48 : x
  2. Step 2: Convert to fraction form
    9,689.95/14,541.30 = 5,310.48/x
  3. Step 3: Cross multiply
    9,689.95x = 14,541.30 × 5,310.48
  4. Step 4: Simplify right side
    9,689.95x = 77,221,282.82
  5. Step 5: Solve for x
    x = 77,221,282.82/9,689.95
  6. Step 6: Final answer
    x = 7,969.21

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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.