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Finding the Fourth Proportional to 8,657.49, 11,948.88 and 8,263.07

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Solution

The fourth proportional to 8,657.49, 11,948.88 and 8,263.07 is: 11,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.49 : 11,948.88 = 8,263.07 : x
  2. Step 2: Convert to fraction form
    8,657.49/11,948.88 = 8,263.07/x
  3. Step 3: Cross multiply
    8,657.49x = 11,948.88 × 8,263.07
  4. Step 4: Simplify right side
    8,657.49x = 98,734,372.12
  5. Step 5: Solve for x
    x = 98,734,372.12/8,657.49
  6. Step 6: Final answer
    x = 11,404.50

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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.