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Finding the Fourth Proportional to 12,214.76, 18,307.99 and 5,627.12

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Solution

The fourth proportional to 12,214.76, 18,307.99 and 5,627.12 is: 8,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.76 : 18,307.99 = 5,627.12 : x
  2. Step 2: Convert to fraction form
    12,214.76/18,307.99 = 5,627.12/x
  3. Step 3: Cross multiply
    12,214.76x = 18,307.99 × 5,627.12
  4. Step 4: Simplify right side
    12,214.76x = 103,021,151.08
  5. Step 5: Solve for x
    x = 103,021,151.08/12,214.76
  6. Step 6: Final answer
    x = 8,434.15

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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.