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Finding the Fourth Proportional to 2,330.52, 3,495.78 and 869.28

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Solution

The fourth proportional to 2,330.52, 3,495.78 and 869.28 is: 1,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.52 : 3,495.78 = 869.28 : x
  2. Step 2: Convert to fraction form
    2,330.52/3,495.78 = 869.28/x
  3. Step 3: Cross multiply
    2,330.52x = 3,495.78 × 869.28
  4. Step 4: Simplify right side
    2,330.52x = 3,038,811.64
  5. Step 5: Solve for x
    x = 3,038,811.64/2,330.52
  6. Step 6: Final answer
    x = 1,303.92

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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.