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Finding the Fourth Proportional to 31,388.03, 47,082.12 and 7,695.68

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Solution

The fourth proportional to 31,388.03, 47,082.12 and 7,695.68 is: 11,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.03 : 47,082.12 = 7,695.68 : x
  2. Step 2: Convert to fraction form
    31,388.03/47,082.12 = 7,695.68/x
  3. Step 3: Cross multiply
    31,388.03x = 47,082.12 × 7,695.68
  4. Step 4: Simplify right side
    31,388.03x = 362,328,655.35
  5. Step 5: Solve for x
    x = 362,328,655.35/31,388.03
  6. Step 6: Final answer
    x = 11,543.53

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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.