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Finding the Fourth Proportional to 31,388.00, 47,082.07 and 7,695.65

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Solution

The fourth proportional to 31,388.00, 47,082.07 and 7,695.65 is: 11,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.00 : 47,082.07 = 7,695.65 : x
  2. Step 2: Convert to fraction form
    31,388.00/47,082.07 = 7,695.65/x
  3. Step 3: Cross multiply
    31,388.00x = 47,082.07 × 7,695.65
  4. Step 4: Simplify right side
    31,388.00x = 362,326,877.35
  5. Step 5: Solve for x
    x = 362,326,877.35/31,388.00
  6. Step 6: Final answer
    x = 11,543.49

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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.