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Finding the Fourth Proportional to 8,214.80, 12,387.50 and 7,307.60

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Solution

The fourth proportional to 8,214.80, 12,387.50 and 7,307.60 is: 11,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.80 : 12,387.50 = 7,307.60 : x
  2. Step 2: Convert to fraction form
    8,214.80/12,387.50 = 7,307.60/x
  3. Step 3: Cross multiply
    8,214.80x = 12,387.50 × 7,307.60
  4. Step 4: Simplify right side
    8,214.80x = 90,522,895
  5. Step 5: Solve for x
    x = 90,522,895/8,214.80
  6. Step 6: Final answer
    x = 11,019.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.