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Finding the Fourth Proportional to 10,987.50, 15,162.75 and 6,271.68

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Solution

The fourth proportional to 10,987.50, 15,162.75 and 6,271.68 is: 8,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.50 : 15,162.75 = 6,271.68 : x
  2. Step 2: Convert to fraction form
    10,987.50/15,162.75 = 6,271.68/x
  3. Step 3: Cross multiply
    10,987.50x = 15,162.75 × 6,271.68
  4. Step 4: Simplify right side
    10,987.50x = 95,095,915.92
  5. Step 5: Solve for x
    x = 95,095,915.92/10,987.50
  6. Step 6: Final answer
    x = 8,654.92

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