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Finding the Fourth Proportional to 9,778.50, 14,670.18 and 2,853

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Solution

The fourth proportional to 9,778.50, 14,670.18 and 2,853 is: 4,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.50 : 14,670.18 = 2,853 : x
  2. Step 2: Convert to fraction form
    9,778.50/14,670.18 = 2,853/x
  3. Step 3: Cross multiply
    9,778.50x = 14,670.18 × 2,853
  4. Step 4: Simplify right side
    9,778.50x = 41,854,023.54
  5. Step 5: Solve for x
    x = 41,854,023.54/9,778.50
  6. Step 6: Final answer
    x = 4,280.21

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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.