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Finding the Fourth Proportional to 14,781.83, 20,393.10 and 9,748.49

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Solution

The fourth proportional to 14,781.83, 20,393.10 and 9,748.49 is: 13,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.83 : 20,393.10 = 9,748.49 : x
  2. Step 2: Convert to fraction form
    14,781.83/20,393.10 = 9,748.49/x
  3. Step 3: Cross multiply
    14,781.83x = 20,393.10 × 9,748.49
  4. Step 4: Simplify right side
    14,781.83x = 198,801,829.45
  5. Step 5: Solve for x
    x = 198,801,829.45/14,781.83
  6. Step 6: Final answer
    x = 13,449.07

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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.