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Finding the Fourth Proportional to 10,419.76, 15,648.09 and 9,989.23

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Solution

The fourth proportional to 10,419.76, 15,648.09 and 9,989.23 is: 15,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.76 : 15,648.09 = 9,989.23 : x
  2. Step 2: Convert to fraction form
    10,419.76/15,648.09 = 9,989.23/x
  3. Step 3: Cross multiply
    10,419.76x = 15,648.09 × 9,989.23
  4. Step 4: Simplify right side
    10,419.76x = 156,312,370.07
  5. Step 5: Solve for x
    x = 156,312,370.07/10,419.76
  6. Step 6: Final answer
    x = 15,001.53

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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.