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Finding the Fourth Proportional to 11,505.50, 15,877.59 and 6,537.50

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Solution

The fourth proportional to 11,505.50, 15,877.59 and 6,537.50 is: 9,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.50 : 15,877.59 = 6,537.50 : x
  2. Step 2: Convert to fraction form
    11,505.50/15,877.59 = 6,537.50/x
  3. Step 3: Cross multiply
    11,505.50x = 15,877.59 × 6,537.50
  4. Step 4: Simplify right side
    11,505.50x = 103,799,744.63
  5. Step 5: Solve for x
    x = 103,799,744.63/11,505.50
  6. Step 6: Final answer
    x = 9,021.75

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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.