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Finding the Fourth Proportional to 8,298.95, 12,435.45 and 5,214.47

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Solution

The fourth proportional to 8,298.95, 12,435.45 and 5,214.47 is: 7,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.95 : 12,435.45 = 5,214.47 : x
  2. Step 2: Convert to fraction form
    8,298.95/12,435.45 = 5,214.47/x
  3. Step 3: Cross multiply
    8,298.95x = 12,435.45 × 5,214.47
  4. Step 4: Simplify right side
    8,298.95x = 64,844,218.78
  5. Step 5: Solve for x
    x = 64,844,218.78/8,298.95
  6. Step 6: Final answer
    x = 7,813.55

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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.