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Finding the Fourth Proportional to 10,230.96, 15,349.68 and 3,657

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Solution

The fourth proportional to 10,230.96, 15,349.68 and 3,657 is: 5,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.96 : 15,349.68 = 3,657 : x
  2. Step 2: Convert to fraction form
    10,230.96/15,349.68 = 3,657/x
  3. Step 3: Cross multiply
    10,230.96x = 15,349.68 × 3,657
  4. Step 4: Simplify right side
    10,230.96x = 56,133,779.76
  5. Step 5: Solve for x
    x = 56,133,779.76/10,230.96
  6. Step 6: Final answer
    x = 5,486.66

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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.