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Finding the Fourth Proportional to 2,988, 4,123.44 and 1,746

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Solution

The fourth proportional to 2,988, 4,123.44 and 1,746 is: 2,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988 : 4,123.44 = 1,746 : x
  2. Step 2: Convert to fraction form
    2,988/4,123.44 = 1,746/x
  3. Step 3: Cross multiply
    2,988x = 4,123.44 × 1,746
  4. Step 4: Simplify right side
    2,988x = 7,199,526.24
  5. Step 5: Solve for x
    x = 7,199,526.24/2,988
  6. Step 6: Final answer
    x = 2,409.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.