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Finding the Fourth Proportional to 8,574.16, 12,862 and 3,378.80

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Solution

The fourth proportional to 8,574.16, 12,862 and 3,378.80 is: 5,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.16 : 12,862 = 3,378.80 : x
  2. Step 2: Convert to fraction form
    8,574.16/12,862 = 3,378.80/x
  3. Step 3: Cross multiply
    8,574.16x = 12,862 × 3,378.80
  4. Step 4: Simplify right side
    8,574.16x = 43,458,125.60
  5. Step 5: Solve for x
    x = 43,458,125.60/8,574.16
  6. Step 6: Final answer
    x = 5,068.50

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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.