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Finding the Fourth Proportional to 13,971, 19,275.66 and 9,257.88

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Solution

The fourth proportional to 13,971, 19,275.66 and 9,257.88 is: 12,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 19,275.66 = 9,257.88 : x
  2. Step 2: Convert to fraction form
    13,971/19,275.66 = 9,257.88/x
  3. Step 3: Cross multiply
    13,971x = 19,275.66 × 9,257.88
  4. Step 4: Simplify right side
    13,971x = 178,451,747.20
  5. Step 5: Solve for x
    x = 178,451,747.20/13,971
  6. Step 6: Final answer
    x = 12,773.01

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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.