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Finding the Fourth Proportional to 9,160.78, 12,641.85 and 4,969

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Solution

The fourth proportional to 9,160.78, 12,641.85 and 4,969 is: 6,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.78 : 12,641.85 = 4,969 : x
  2. Step 2: Convert to fraction form
    9,160.78/12,641.85 = 4,969/x
  3. Step 3: Cross multiply
    9,160.78x = 12,641.85 × 4,969
  4. Step 4: Simplify right side
    9,160.78x = 62,817,352.65
  5. Step 5: Solve for x
    x = 62,817,352.65/9,160.78
  6. Step 6: Final answer
    x = 6,857.21

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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.