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Finding the Fourth Proportional to 8,797.50, 12,140.91 and 5,071.50

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Solution

The fourth proportional to 8,797.50, 12,140.91 and 5,071.50 is: 6,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.50 : 12,140.91 = 5,071.50 : x
  2. Step 2: Convert to fraction form
    8,797.50/12,140.91 = 5,071.50/x
  3. Step 3: Cross multiply
    8,797.50x = 12,140.91 × 5,071.50
  4. Step 4: Simplify right side
    8,797.50x = 61,572,625.07
  5. Step 5: Solve for x
    x = 61,572,625.07/8,797.50
  6. Step 6: Final answer
    x = 6,998.88

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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.