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Finding the Fourth Proportional to 8,352.98, 12,531.08 and 2,806.40

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Solution

The fourth proportional to 8,352.98, 12,531.08 and 2,806.40 is: 4,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.98 : 12,531.08 = 2,806.40 : x
  2. Step 2: Convert to fraction form
    8,352.98/12,531.08 = 2,806.40/x
  3. Step 3: Cross multiply
    8,352.98x = 12,531.08 × 2,806.40
  4. Step 4: Simplify right side
    8,352.98x = 35,167,146.22
  5. Step 5: Solve for x
    x = 35,167,146.22/8,352.98
  6. Step 6: Final answer
    x = 4,210.13

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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.