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Finding the Fourth Proportional to 10,531.77, 15,717.05 and 9,408.58

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Solution

The fourth proportional to 10,531.77, 15,717.05 and 9,408.58 is: 14,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.77 : 15,717.05 = 9,408.58 : x
  2. Step 2: Convert to fraction form
    10,531.77/15,717.05 = 9,408.58/x
  3. Step 3: Cross multiply
    10,531.77x = 15,717.05 × 9,408.58
  4. Step 4: Simplify right side
    10,531.77x = 147,875,122.29
  5. Step 5: Solve for x
    x = 147,875,122.29/10,531.77
  6. Step 6: Final answer
    x = 14,040.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.