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Finding the Fourth Proportional to 4,585.52, 6,879 and 1,663.40

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Solution

The fourth proportional to 4,585.52, 6,879 and 1,663.40 is: 2,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.52 : 6,879 = 1,663.40 : x
  2. Step 2: Convert to fraction form
    4,585.52/6,879 = 1,663.40/x
  3. Step 3: Cross multiply
    4,585.52x = 6,879 × 1,663.40
  4. Step 4: Simplify right side
    4,585.52x = 11,442,528.60
  5. Step 5: Solve for x
    x = 11,442,528.60/4,585.52
  6. Step 6: Final answer
    x = 2,495.36

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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.