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Finding the Fourth Proportional to 10,436.86, 15,655.86 and 2,645.74

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Solution

The fourth proportional to 10,436.86, 15,655.86 and 2,645.74 is: 3,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.86 : 15,655.86 = 2,645.74 : x
  2. Step 2: Convert to fraction form
    10,436.86/15,655.86 = 2,645.74/x
  3. Step 3: Cross multiply
    10,436.86x = 15,655.86 × 2,645.74
  4. Step 4: Simplify right side
    10,436.86x = 41,421,335.04
  5. Step 5: Solve for x
    x = 41,421,335.04/10,436.86
  6. Step 6: Final answer
    x = 3,968.75

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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.