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Finding the Fourth Proportional to 5,346.40, 7,377.68 and 2,988

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Solution

The fourth proportional to 5,346.40, 7,377.68 and 2,988 is: 4,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.40 : 7,377.68 = 2,988 : x
  2. Step 2: Convert to fraction form
    5,346.40/7,377.68 = 2,988/x
  3. Step 3: Cross multiply
    5,346.40x = 7,377.68 × 2,988
  4. Step 4: Simplify right side
    5,346.40x = 22,044,507.84
  5. Step 5: Solve for x
    x = 22,044,507.84/5,346.40
  6. Step 6: Final answer
    x = 4,123.24

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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.