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Finding the Fourth Proportional to 12,456, 18,686.96 and 4,248

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Solution

The fourth proportional to 12,456, 18,686.96 and 4,248 is: 6,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456 : 18,686.96 = 4,248 : x
  2. Step 2: Convert to fraction form
    12,456/18,686.96 = 4,248/x
  3. Step 3: Cross multiply
    12,456x = 18,686.96 × 4,248
  4. Step 4: Simplify right side
    12,456x = 79,382,206.08
  5. Step 5: Solve for x
    x = 79,382,206.08/12,456
  6. Step 6: Final answer
    x = 6,373.01

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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.