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Finding the Fourth Proportional to 2,948.29, 4,420.29 and 1,488.48

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Solution

The fourth proportional to 2,948.29, 4,420.29 and 1,488.48 is: 2,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.29 : 4,420.29 = 1,488.48 : x
  2. Step 2: Convert to fraction form
    2,948.29/4,420.29 = 1,488.48/x
  3. Step 3: Cross multiply
    2,948.29x = 4,420.29 × 1,488.48
  4. Step 4: Simplify right side
    2,948.29x = 6,579,513.26
  5. Step 5: Solve for x
    x = 6,579,513.26/2,948.29
  6. Step 6: Final answer
    x = 2,231.64

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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.