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Finding the Fourth Proportional to 14,403, 19,876.14 and 8,115.60

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Solution

The fourth proportional to 14,403, 19,876.14 and 8,115.60 is: 11,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403 : 19,876.14 = 8,115.60 : x
  2. Step 2: Convert to fraction form
    14,403/19,876.14 = 8,115.60/x
  3. Step 3: Cross multiply
    14,403x = 19,876.14 × 8,115.60
  4. Step 4: Simplify right side
    14,403x = 161,306,801.78
  5. Step 5: Solve for x
    x = 161,306,801.78/14,403
  6. Step 6: Final answer
    x = 11,199.53

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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.