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Finding the Fourth Proportional to 15,919.20, 23,878.80 and 13,384.80

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Solution

The fourth proportional to 15,919.20, 23,878.80 and 13,384.80 is: 20,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.20 : 23,878.80 = 13,384.80 : x
  2. Step 2: Convert to fraction form
    15,919.20/23,878.80 = 13,384.80/x
  3. Step 3: Cross multiply
    15,919.20x = 23,878.80 × 13,384.80
  4. Step 4: Simplify right side
    15,919.20x = 319,612,962.24
  5. Step 5: Solve for x
    x = 319,612,962.24/15,919.20
  6. Step 6: Final answer
    x = 20,077.20

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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.