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Finding the Fourth Proportional to 15,312.92, 22,971 and 5,453.12

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Solution

The fourth proportional to 15,312.92, 22,971 and 5,453.12 is: 8,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.92 : 22,971 = 5,453.12 : x
  2. Step 2: Convert to fraction form
    15,312.92/22,971 = 5,453.12/x
  3. Step 3: Cross multiply
    15,312.92x = 22,971 × 5,453.12
  4. Step 4: Simplify right side
    15,312.92x = 125,263,619.52
  5. Step 5: Solve for x
    x = 125,263,619.52/15,312.92
  6. Step 6: Final answer
    x = 8,180.26

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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.