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Finding the Fourth Proportional to 10,262, 15,393.72 and 3,507.68

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Solution

The fourth proportional to 10,262, 15,393.72 and 3,507.68 is: 5,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 15,393.72 = 3,507.68 : x
  2. Step 2: Convert to fraction form
    10,262/15,393.72 = 3,507.68/x
  3. Step 3: Cross multiply
    10,262x = 15,393.72 × 3,507.68
  4. Step 4: Simplify right side
    10,262x = 53,996,243.77
  5. Step 5: Solve for x
    x = 53,996,243.77/10,262
  6. Step 6: Final answer
    x = 5,261.77

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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.