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Finding the Fourth Proportional to 8,987.10, 13,465.12 and 8,074.02

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Solution

The fourth proportional to 8,987.10, 13,465.12 and 8,074.02 is: 12,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987.10 : 13,465.12 = 8,074.02 : x
  2. Step 2: Convert to fraction form
    8,987.10/13,465.12 = 8,074.02/x
  3. Step 3: Cross multiply
    8,987.10x = 13,465.12 × 8,074.02
  4. Step 4: Simplify right side
    8,987.10x = 108,717,648.18
  5. Step 5: Solve for x
    x = 108,717,648.18/8,987.10
  6. Step 6: Final answer
    x = 12,097.08

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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.