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Finding the Fourth Proportional to 31,433.49, 47,149.01 and 10,656.99

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Solution

The fourth proportional to 31,433.49, 47,149.01 and 10,656.99 is: 15,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.49 : 47,149.01 = 10,656.99 : x
  2. Step 2: Convert to fraction form
    31,433.49/47,149.01 = 10,656.99/x
  3. Step 3: Cross multiply
    31,433.49x = 47,149.01 × 10,656.99
  4. Step 4: Simplify right side
    31,433.49x = 502,466,474.79
  5. Step 5: Solve for x
    x = 502,466,474.79/31,433.49
  6. Step 6: Final answer
    x = 15,985.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.