Home / 31,434.48-47,142-9,242.28

Finding the Fourth Proportional to 31,434.48, 47,142 and 9,242.28

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Solution

The fourth proportional to 31,434.48, 47,142 and 9,242.28 is: 13,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.48 : 47,142 = 9,242.28 : x
  2. Step 2: Convert to fraction form
    31,434.48/47,142 = 9,242.28/x
  3. Step 3: Cross multiply
    31,434.48x = 47,142 × 9,242.28
  4. Step 4: Simplify right side
    31,434.48x = 435,699,563.76
  5. Step 5: Solve for x
    x = 435,699,563.76/31,434.48
  6. Step 6: Final answer
    x = 13,860.56

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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.