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Finding the Fourth Proportional to 13,531, 18,673.50 and 7,943.80

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Solution

The fourth proportional to 13,531, 18,673.50 and 7,943.80 is: 10,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531 : 18,673.50 = 7,943.80 : x
  2. Step 2: Convert to fraction form
    13,531/18,673.50 = 7,943.80/x
  3. Step 3: Cross multiply
    13,531x = 18,673.50 × 7,943.80
  4. Step 4: Simplify right side
    13,531x = 148,338,549.30
  5. Step 5: Solve for x
    x = 148,338,549.30/13,531
  6. Step 6: Final answer
    x = 10,962.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.