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Finding the Fourth Proportional to 10,648.56, 15,981.80 and 9,419.04

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Solution

The fourth proportional to 10,648.56, 15,981.80 and 9,419.04 is: 14,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.56 : 15,981.80 = 9,419.04 : x
  2. Step 2: Convert to fraction form
    10,648.56/15,981.80 = 9,419.04/x
  3. Step 3: Cross multiply
    10,648.56x = 15,981.80 × 9,419.04
  4. Step 4: Simplify right side
    10,648.56x = 150,533,213.47
  5. Step 5: Solve for x
    x = 150,533,213.47/10,648.56
  6. Step 6: Final answer
    x = 14,136.49

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1.5x scale

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.