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Finding the Fourth Proportional to 12,471.54, 18,710.36 and 4,151.54

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Solution

The fourth proportional to 12,471.54, 18,710.36 and 4,151.54 is: 6,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.54 : 18,710.36 = 4,151.54 : x
  2. Step 2: Convert to fraction form
    12,471.54/18,710.36 = 4,151.54/x
  3. Step 3: Cross multiply
    12,471.54x = 18,710.36 × 4,151.54
  4. Step 4: Simplify right side
    12,471.54x = 77,676,807.95
  5. Step 5: Solve for x
    x = 77,676,807.95/12,471.54
  6. Step 6: Final answer
    x = 6,228.33

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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.