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Finding the Fourth Proportional to 10,355.10, 15,532.65 and 2,959.80

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Solution

The fourth proportional to 10,355.10, 15,532.65 and 2,959.80 is: 4,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.10 : 15,532.65 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    10,355.10/15,532.65 = 2,959.80/x
  3. Step 3: Cross multiply
    10,355.10x = 15,532.65 × 2,959.80
  4. Step 4: Simplify right side
    10,355.10x = 45,973,537.47
  5. Step 5: Solve for x
    x = 45,973,537.47/10,355.10
  6. Step 6: Final answer
    x = 4,439.70

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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.