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Finding the Fourth Proportional to 25,407.78, 38,106 and 8,767.14

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Solution

The fourth proportional to 25,407.78, 38,106 and 8,767.14 is: 13,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.78 : 38,106 = 8,767.14 : x
  2. Step 2: Convert to fraction form
    25,407.78/38,106 = 8,767.14/x
  3. Step 3: Cross multiply
    25,407.78x = 38,106 × 8,767.14
  4. Step 4: Simplify right side
    25,407.78x = 334,080,636.84
  5. Step 5: Solve for x
    x = 334,080,636.84/25,407.78
  6. Step 6: Final answer
    x = 13,148.75

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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.