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Finding the Fourth Proportional to 14,069.52, 19,416.14 and 7,781.88

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Solution

The fourth proportional to 14,069.52, 19,416.14 and 7,781.88 is: 10,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.52 : 19,416.14 = 7,781.88 : x
  2. Step 2: Convert to fraction form
    14,069.52/19,416.14 = 7,781.88/x
  3. Step 3: Cross multiply
    14,069.52x = 19,416.14 × 7,781.88
  4. Step 4: Simplify right side
    14,069.52x = 151,094,071.54
  5. Step 5: Solve for x
    x = 151,094,071.54/14,069.52
  6. Step 6: Final answer
    x = 10,739.11

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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.