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Finding the Fourth Proportional to 31,898.88, 47,854.19 and 13,189.10

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Solution

The fourth proportional to 31,898.88, 47,854.19 and 13,189.10 is: 19,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.88 : 47,854.19 = 13,189.10 : x
  2. Step 2: Convert to fraction form
    31,898.88/47,854.19 = 13,189.10/x
  3. Step 3: Cross multiply
    31,898.88x = 47,854.19 × 13,189.10
  4. Step 4: Simplify right side
    31,898.88x = 631,153,491.03
  5. Step 5: Solve for x
    x = 631,153,491.03/31,898.88
  6. Step 6: Final answer
    x = 19,786.07

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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.