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Finding the Fourth Proportional to 6,162.64, 9,242.14 and 1,780.14

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Solution

The fourth proportional to 6,162.64, 9,242.14 and 1,780.14 is: 2,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.64 : 9,242.14 = 1,780.14 : x
  2. Step 2: Convert to fraction form
    6,162.64/9,242.14 = 1,780.14/x
  3. Step 3: Cross multiply
    6,162.64x = 9,242.14 × 1,780.14
  4. Step 4: Simplify right side
    6,162.64x = 16,452,303.10
  5. Step 5: Solve for x
    x = 16,452,303.10/6,162.64
  6. Step 6: Final answer
    x = 2,669.68

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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.