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Finding the Fourth Proportional to 11,987.08, 17,978.46 and 8,510.20

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Solution

The fourth proportional to 11,987.08, 17,978.46 and 8,510.20 is: 12,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.08 : 17,978.46 = 8,510.20 : x
  2. Step 2: Convert to fraction form
    11,987.08/17,978.46 = 8,510.20/x
  3. Step 3: Cross multiply
    11,987.08x = 17,978.46 × 8,510.20
  4. Step 4: Simplify right side
    11,987.08x = 153,000,290.29
  5. Step 5: Solve for x
    x = 153,000,290.29/11,987.08
  6. Step 6: Final answer
    x = 12,763.77

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1.5x scale

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.