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Finding the Fourth Proportional to 12,364.78, 18,547.14 and 4,156.78

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Solution

The fourth proportional to 12,364.78, 18,547.14 and 4,156.78 is: 6,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.78 : 18,547.14 = 4,156.78 : x
  2. Step 2: Convert to fraction form
    12,364.78/18,547.14 = 4,156.78/x
  3. Step 3: Cross multiply
    12,364.78x = 18,547.14 × 4,156.78
  4. Step 4: Simplify right side
    12,364.78x = 77,096,380.61
  5. Step 5: Solve for x
    x = 77,096,380.61/12,364.78
  6. Step 6: Final answer
    x = 6,235.16

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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.