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Finding the Fourth Proportional to 9,279.71, 12,806.25 and 5,302.11

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Solution

The fourth proportional to 9,279.71, 12,806.25 and 5,302.11 is: 7,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.71 : 12,806.25 = 5,302.11 : x
  2. Step 2: Convert to fraction form
    9,279.71/12,806.25 = 5,302.11/x
  3. Step 3: Cross multiply
    9,279.71x = 12,806.25 × 5,302.11
  4. Step 4: Simplify right side
    9,279.71x = 67,900,132.12
  5. Step 5: Solve for x
    x = 67,900,132.12/9,279.71
  6. Step 6: Final answer
    x = 7,317.05

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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.