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Finding the Fourth Proportional to 9,778.59, 14,664.15 and 4,231.49

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Solution

The fourth proportional to 9,778.59, 14,664.15 and 4,231.49 is: 6,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.59 : 14,664.15 = 4,231.49 : x
  2. Step 2: Convert to fraction form
    9,778.59/14,664.15 = 4,231.49/x
  3. Step 3: Cross multiply
    9,778.59x = 14,664.15 × 4,231.49
  4. Step 4: Simplify right side
    9,778.59x = 62,051,130.76
  5. Step 5: Solve for x
    x = 62,051,130.76/9,778.59
  6. Step 6: Final answer
    x = 6,345.61

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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.