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Finding the Fourth Proportional to 31,400.99, 47,108.42 and 10,347.53

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Solution

The fourth proportional to 31,400.99, 47,108.42 and 10,347.53 is: 15,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.99 : 47,108.42 = 10,347.53 : x
  2. Step 2: Convert to fraction form
    31,400.99/47,108.42 = 10,347.53/x
  3. Step 3: Cross multiply
    31,400.99x = 47,108.42 × 10,347.53
  4. Step 4: Simplify right side
    31,400.99x = 487,455,501.92
  5. Step 5: Solve for x
    x = 487,455,501.92/31,400.99
  6. Step 6: Final answer
    x = 15,523.57

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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.