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Finding the Fourth Proportional to 15,138.12, 22,706.64 and 7,246.32

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Solution

The fourth proportional to 15,138.12, 22,706.64 and 7,246.32 is: 10,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.12 : 22,706.64 = 7,246.32 : x
  2. Step 2: Convert to fraction form
    15,138.12/22,706.64 = 7,246.32/x
  3. Step 3: Cross multiply
    15,138.12x = 22,706.64 × 7,246.32
  4. Step 4: Simplify right side
    15,138.12x = 164,539,579.56
  5. Step 5: Solve for x
    x = 164,539,579.56/15,138.12
  6. Step 6: Final answer
    x = 10,869.22

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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.