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Finding the Fourth Proportional to 31,507.50, 47,261.08 and 9,321

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Solution

The fourth proportional to 31,507.50, 47,261.08 and 9,321 is: 13,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.50 : 47,261.08 = 9,321 : x
  2. Step 2: Convert to fraction form
    31,507.50/47,261.08 = 9,321/x
  3. Step 3: Cross multiply
    31,507.50x = 47,261.08 × 9,321
  4. Step 4: Simplify right side
    31,507.50x = 440,520,526.68
  5. Step 5: Solve for x
    x = 440,520,526.68/31,507.50
  6. Step 6: Final answer
    x = 13,981.45

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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.