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Finding the Fourth Proportional to 12,387.40, 18,601.92 and 7,718.32

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Solution

The fourth proportional to 12,387.40, 18,601.92 and 7,718.32 is: 11,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.40 : 18,601.92 = 7,718.32 : x
  2. Step 2: Convert to fraction form
    12,387.40/18,601.92 = 7,718.32/x
  3. Step 3: Cross multiply
    12,387.40x = 18,601.92 × 7,718.32
  4. Step 4: Simplify right side
    12,387.40x = 143,575,571.17
  5. Step 5: Solve for x
    x = 143,575,571.17/12,387.40
  6. Step 6: Final answer
    x = 11,590.45

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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.