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Finding the Fourth Proportional to 10,366, 14,309.52 and 7,013.44

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Solution

The fourth proportional to 10,366, 14,309.52 and 7,013.44 is: 9,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 14,309.52 = 7,013.44 : x
  2. Step 2: Convert to fraction form
    10,366/14,309.52 = 7,013.44/x
  3. Step 3: Cross multiply
    10,366x = 14,309.52 × 7,013.44
  4. Step 4: Simplify right side
    10,366x = 100,358,959.95
  5. Step 5: Solve for x
    x = 100,358,959.95/10,366
  6. Step 6: Final answer
    x = 9,681.55

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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.