Home / 31,347-47,022.66-10,281.47

Finding the Fourth Proportional to 31,347, 47,022.66 and 10,281.47

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Solution

The fourth proportional to 31,347, 47,022.66 and 10,281.47 is: 15,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 47,022.66 = 10,281.47 : x
  2. Step 2: Convert to fraction form
    31,347/47,022.66 = 10,281.47/x
  3. Step 3: Cross multiply
    31,347x = 47,022.66 × 10,281.47
  4. Step 4: Simplify right side
    31,347x = 483,461,833.00
  5. Step 5: Solve for x
    x = 483,461,833.00/31,347
  6. Step 6: Final answer
    x = 15,422.91

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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.