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Finding the Fourth Proportional to 10,230, 15,346.40 and 3,654.72

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Solution

The fourth proportional to 10,230, 15,346.40 and 3,654.72 is: 5,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230 : 15,346.40 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    10,230/15,346.40 = 3,654.72/x
  3. Step 3: Cross multiply
    10,230x = 15,346.40 × 3,654.72
  4. Step 4: Simplify right side
    10,230x = 56,086,795.01
  5. Step 5: Solve for x
    x = 56,086,795.01/10,230
  6. Step 6: Final answer
    x = 5,482.58

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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.