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Finding the Fourth Proportional to 9,781.60, 14,675.10 and 4,851.40

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Solution

The fourth proportional to 9,781.60, 14,675.10 and 4,851.40 is: 7,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.60 : 14,675.10 = 4,851.40 : x
  2. Step 2: Convert to fraction form
    9,781.60/14,675.10 = 4,851.40/x
  3. Step 3: Cross multiply
    9,781.60x = 14,675.10 × 4,851.40
  4. Step 4: Simplify right side
    9,781.60x = 71,194,780.14
  5. Step 5: Solve for x
    x = 71,194,780.14/9,781.60
  6. Step 6: Final answer
    x = 7,278.44

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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.