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Finding the Fourth Proportional to 10,324, 15,488.70 and 3,398.50

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Solution

The fourth proportional to 10,324, 15,488.70 and 3,398.50 is: 5,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 15,488.70 = 3,398.50 : x
  2. Step 2: Convert to fraction form
    10,324/15,488.70 = 3,398.50/x
  3. Step 3: Cross multiply
    10,324x = 15,488.70 × 3,398.50
  4. Step 4: Simplify right side
    10,324x = 52,638,346.95
  5. Step 5: Solve for x
    x = 52,638,346.95/10,324
  6. Step 6: Final answer
    x = 5,098.64

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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.