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Finding the Fourth Proportional to 9,296.20, 13,903.80 and 8,316.10

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Solution

The fourth proportional to 9,296.20, 13,903.80 and 8,316.10 is: 12,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.20 : 13,903.80 = 8,316.10 : x
  2. Step 2: Convert to fraction form
    9,296.20/13,903.80 = 8,316.10/x
  3. Step 3: Cross multiply
    9,296.20x = 13,903.80 × 8,316.10
  4. Step 4: Simplify right side
    9,296.20x = 115,625,391.18
  5. Step 5: Solve for x
    x = 115,625,391.18/9,296.20
  6. Step 6: Final answer
    x = 12,437.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.