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Finding the Fourth Proportional to 5,346, 7,377.48 and 2,988.09

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Solution

The fourth proportional to 5,346, 7,377.48 and 2,988.09 is: 4,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 7,377.48 = 2,988.09 : x
  2. Step 2: Convert to fraction form
    5,346/7,377.48 = 2,988.09/x
  3. Step 3: Cross multiply
    5,346x = 7,377.48 × 2,988.09
  4. Step 4: Simplify right side
    5,346x = 22,044,574.21
  5. Step 5: Solve for x
    x = 22,044,574.21/5,346
  6. Step 6: Final answer
    x = 4,123.56

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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.