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Finding the Fourth Proportional to 5,348.64, 7,381.08 and 2,991

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Solution

The fourth proportional to 5,348.64, 7,381.08 and 2,991 is: 4,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.64 : 7,381.08 = 2,991 : x
  2. Step 2: Convert to fraction form
    5,348.64/7,381.08 = 2,991/x
  3. Step 3: Cross multiply
    5,348.64x = 7,381.08 × 2,991
  4. Step 4: Simplify right side
    5,348.64x = 22,076,810.28
  5. Step 5: Solve for x
    x = 22,076,810.28/5,348.64
  6. Step 6: Final answer
    x = 4,127.56

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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.