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Finding the Fourth Proportional to 13,132.50, 19,567.43 and 12,126.48

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Solution

The fourth proportional to 13,132.50, 19,567.43 and 12,126.48 is: 18,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.50 : 19,567.43 = 12,126.48 : x
  2. Step 2: Convert to fraction form
    13,132.50/19,567.43 = 12,126.48/x
  3. Step 3: Cross multiply
    13,132.50x = 19,567.43 × 12,126.48
  4. Step 4: Simplify right side
    13,132.50x = 237,283,987.91
  5. Step 5: Solve for x
    x = 237,283,987.91/13,132.50
  6. Step 6: Final answer
    x = 18,068.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.