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Finding the Fourth Proportional to 15,145.76, 22,718.88 and 7,729.28

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Solution

The fourth proportional to 15,145.76, 22,718.88 and 7,729.28 is: 11,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.76 : 22,718.88 = 7,729.28 : x
  2. Step 2: Convert to fraction form
    15,145.76/22,718.88 = 7,729.28/x
  3. Step 3: Cross multiply
    15,145.76x = 22,718.88 × 7,729.28
  4. Step 4: Simplify right side
    15,145.76x = 175,600,584.81
  5. Step 5: Solve for x
    x = 175,600,584.81/15,145.76
  6. Step 6: Final answer
    x = 11,594.04

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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.