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Finding the Fourth Proportional to 19,987.84, 29,980.32 and 8,891.20

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Solution

The fourth proportional to 19,987.84, 29,980.32 and 8,891.20 is: 13,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.84 : 29,980.32 = 8,891.20 : x
  2. Step 2: Convert to fraction form
    19,987.84/29,980.32 = 8,891.20/x
  3. Step 3: Cross multiply
    19,987.84x = 29,980.32 × 8,891.20
  4. Step 4: Simplify right side
    19,987.84x = 266,561,021.18
  5. Step 5: Solve for x
    x = 266,561,021.18/19,987.84
  6. Step 6: Final answer
    x = 13,336.16

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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.