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Finding the Fourth Proportional to 10,468, 15,702 and 3,886.56

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Solution

The fourth proportional to 10,468, 15,702 and 3,886.56 is: 5,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468 : 15,702 = 3,886.56 : x
  2. Step 2: Convert to fraction form
    10,468/15,702 = 3,886.56/x
  3. Step 3: Cross multiply
    10,468x = 15,702 × 3,886.56
  4. Step 4: Simplify right side
    10,468x = 61,026,765.12
  5. Step 5: Solve for x
    x = 61,026,765.12/10,468
  6. Step 6: Final answer
    x = 5,829.84

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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.