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Finding the Fourth Proportional to 2,257.47, 3,384.59 and 869.64

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Solution

The fourth proportional to 2,257.47, 3,384.59 and 869.64 is: 1,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.47 : 3,384.59 = 869.64 : x
  2. Step 2: Convert to fraction form
    2,257.47/3,384.59 = 869.64/x
  3. Step 3: Cross multiply
    2,257.47x = 3,384.59 × 869.64
  4. Step 4: Simplify right side
    2,257.47x = 2,943,357.81
  5. Step 5: Solve for x
    x = 2,943,357.81/2,257.47
  6. Step 6: Final answer
    x = 1,303.83

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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.