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Finding the Fourth Proportional to 9,691.84, 13,382.18 and 7,045.57

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Solution

The fourth proportional to 9,691.84, 13,382.18 and 7,045.57 is: 9,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.84 : 13,382.18 = 7,045.57 : x
  2. Step 2: Convert to fraction form
    9,691.84/13,382.18 = 7,045.57/x
  3. Step 3: Cross multiply
    9,691.84x = 13,382.18 × 7,045.57
  4. Step 4: Simplify right side
    9,691.84x = 94,285,085.94
  5. Step 5: Solve for x
    x = 94,285,085.94/9,691.84
  6. Step 6: Final answer
    x = 9,728.30

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Half scale
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Double scale
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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.