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Finding the Fourth Proportional to 10,432, 15,648 and 3,506.50

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Solution

The fourth proportional to 10,432, 15,648 and 3,506.50 is: 5,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 15,648 = 3,506.50 : x
  2. Step 2: Convert to fraction form
    10,432/15,648 = 3,506.50/x
  3. Step 3: Cross multiply
    10,432x = 15,648 × 3,506.50
  4. Step 4: Simplify right side
    10,432x = 54,869,712
  5. Step 5: Solve for x
    x = 54,869,712/10,432
  6. Step 6: Final answer
    x = 5,259.75

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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.