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Finding the Fourth Proportional to 5,343.71, 7,374.03 and 2,985.40

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Solution

The fourth proportional to 5,343.71, 7,374.03 and 2,985.40 is: 4,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.71 : 7,374.03 = 2,985.40 : x
  2. Step 2: Convert to fraction form
    5,343.71/7,374.03 = 2,985.40/x
  3. Step 3: Cross multiply
    5,343.71x = 7,374.03 × 2,985.40
  4. Step 4: Simplify right side
    5,343.71x = 22,014,392.29
  5. Step 5: Solve for x
    x = 22,014,392.29/5,343.71
  6. Step 6: Final answer
    x = 4,119.68

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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.