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Finding the Fourth Proportional to 9,987, 14,990.40 and 5,307.04

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Solution

The fourth proportional to 9,987, 14,990.40 and 5,307.04 is: 7,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 14,990.40 = 5,307.04 : x
  2. Step 2: Convert to fraction form
    9,987/14,990.40 = 5,307.04/x
  3. Step 3: Cross multiply
    9,987x = 14,990.40 × 5,307.04
  4. Step 4: Simplify right side
    9,987x = 79,554,652.42
  5. Step 5: Solve for x
    x = 79,554,652.42/9,987
  6. Step 6: Final answer
    x = 7,965.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.