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Finding the Fourth Proportional to 9,159, 12,639.42 and 4,967.26

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Solution

The fourth proportional to 9,159, 12,639.42 and 4,967.26 is: 6,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159 : 12,639.42 = 4,967.26 : x
  2. Step 2: Convert to fraction form
    9,159/12,639.42 = 4,967.26/x
  3. Step 3: Cross multiply
    9,159x = 12,639.42 × 4,967.26
  4. Step 4: Simplify right side
    9,159x = 62,783,285.39
  5. Step 5: Solve for x
    x = 62,783,285.39/9,159
  6. Step 6: Final answer
    x = 6,854.82

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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.