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Finding the Fourth Proportional to 8,312, 12,468 and 5,028.80

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Solution

The fourth proportional to 8,312, 12,468 and 5,028.80 is: 7,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,468 = 5,028.80 : x
  2. Step 2: Convert to fraction form
    8,312/12,468 = 5,028.80/x
  3. Step 3: Cross multiply
    8,312x = 12,468 × 5,028.80
  4. Step 4: Simplify right side
    8,312x = 62,699,078.40
  5. Step 5: Solve for x
    x = 62,699,078.40/8,312
  6. Step 6: Final answer
    x = 7,543.20

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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.