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Finding the Fourth Proportional to 10,871.34, 16,215.63 and 9,874.74

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Solution

The fourth proportional to 10,871.34, 16,215.63 and 9,874.74 is: 14,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.34 : 16,215.63 = 9,874.74 : x
  2. Step 2: Convert to fraction form
    10,871.34/16,215.63 = 9,874.74/x
  3. Step 3: Cross multiply
    10,871.34x = 16,215.63 × 9,874.74
  4. Step 4: Simplify right side
    10,871.34x = 160,125,130.19
  5. Step 5: Solve for x
    x = 160,125,130.19/10,871.34
  6. Step 6: Final answer
    x = 14,729.11

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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.