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Finding the Fourth Proportional to 15,129.64, 20,878.92 and 8,415.10

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Solution

The fourth proportional to 15,129.64, 20,878.92 and 8,415.10 is: 11,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.64 : 20,878.92 = 8,415.10 : x
  2. Step 2: Convert to fraction form
    15,129.64/20,878.92 = 8,415.10/x
  3. Step 3: Cross multiply
    15,129.64x = 20,878.92 × 8,415.10
  4. Step 4: Simplify right side
    15,129.64x = 175,698,199.69
  5. Step 5: Solve for x
    x = 175,698,199.69/15,129.64
  6. Step 6: Final answer
    x = 11,612.85

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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.