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Finding the Fourth Proportional to 14,287.06, 19,713.80 and 8,978.12

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Solution

The fourth proportional to 14,287.06, 19,713.80 and 8,978.12 is: 12,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.06 : 19,713.80 = 8,978.12 : x
  2. Step 2: Convert to fraction form
    14,287.06/19,713.80 = 8,978.12/x
  3. Step 3: Cross multiply
    14,287.06x = 19,713.80 × 8,978.12
  4. Step 4: Simplify right side
    14,287.06x = 176,992,862.06
  5. Step 5: Solve for x
    x = 176,992,862.06/14,287.06
  6. Step 6: Final answer
    x = 12,388.33

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1.5x scale

Why These Related Problems?

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