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Finding the Fourth Proportional to 9,169.98, 12,640.23 and 7,675.26

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Solution

The fourth proportional to 9,169.98, 12,640.23 and 7,675.26 is: 10,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.98 : 12,640.23 = 7,675.26 : x
  2. Step 2: Convert to fraction form
    9,169.98/12,640.23 = 7,675.26/x
  3. Step 3: Cross multiply
    9,169.98x = 12,640.23 × 7,675.26
  4. Step 4: Simplify right side
    9,169.98x = 97,017,051.71
  5. Step 5: Solve for x
    x = 97,017,051.71/9,169.98
  6. Step 6: Final answer
    x = 10,579.85

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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.