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Finding the Fourth Proportional to 12,889.87, 17,774.53 and 9,539.71

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Solution

The fourth proportional to 12,889.87, 17,774.53 and 9,539.71 is: 13,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.87 : 17,774.53 = 9,539.71 : x
  2. Step 2: Convert to fraction form
    12,889.87/17,774.53 = 9,539.71/x
  3. Step 3: Cross multiply
    12,889.87x = 17,774.53 × 9,539.71
  4. Step 4: Simplify right side
    12,889.87x = 169,563,915.24
  5. Step 5: Solve for x
    x = 169,563,915.24/12,889.87
  6. Step 6: Final answer
    x = 13,154.82

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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.