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Finding the Fourth Proportional to 20,038.70, 30,052.17 and 7,549.71

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Solution

The fourth proportional to 20,038.70, 30,052.17 and 7,549.71 is: 11,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.70 : 30,052.17 = 7,549.71 : x
  2. Step 2: Convert to fraction form
    20,038.70/30,052.17 = 7,549.71/x
  3. Step 3: Cross multiply
    20,038.70x = 30,052.17 × 7,549.71
  4. Step 4: Simplify right side
    20,038.70x = 226,885,168.37
  5. Step 5: Solve for x
    x = 226,885,168.37/20,038.70
  6. Step 6: Final answer
    x = 11,322.35

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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.