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Finding the Fourth Proportional to 9,085, 12,537.40 and 5,310.76

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Solution

The fourth proportional to 9,085, 12,537.40 and 5,310.76 is: 7,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 12,537.40 = 5,310.76 : x
  2. Step 2: Convert to fraction form
    9,085/12,537.40 = 5,310.76/x
  3. Step 3: Cross multiply
    9,085x = 12,537.40 × 5,310.76
  4. Step 4: Simplify right side
    9,085x = 66,583,122.42
  5. Step 5: Solve for x
    x = 66,583,122.42/9,085
  6. Step 6: Final answer
    x = 7,328.91

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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.