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Finding the Fourth Proportional to 8,713.50, 12,024.63 and 4,987.50

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Solution

The fourth proportional to 8,713.50, 12,024.63 and 4,987.50 is: 6,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.50 : 12,024.63 = 4,987.50 : x
  2. Step 2: Convert to fraction form
    8,713.50/12,024.63 = 4,987.50/x
  3. Step 3: Cross multiply
    8,713.50x = 12,024.63 × 4,987.50
  4. Step 4: Simplify right side
    8,713.50x = 59,972,842.13
  5. Step 5: Solve for x
    x = 59,972,842.13/8,713.50
  6. Step 6: Final answer
    x = 6,882.75

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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.