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Finding the Fourth Proportional to 11,641.98, 16,065.10 and 6,605.74

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Solution

The fourth proportional to 11,641.98, 16,065.10 and 6,605.74 is: 9,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.98 : 16,065.10 = 6,605.74 : x
  2. Step 2: Convert to fraction form
    11,641.98/16,065.10 = 6,605.74/x
  3. Step 3: Cross multiply
    11,641.98x = 16,065.10 × 6,605.74
  4. Step 4: Simplify right side
    11,641.98x = 106,121,873.67
  5. Step 5: Solve for x
    x = 106,121,873.67/11,641.98
  6. Step 6: Final answer
    x = 9,115.45

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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.