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Finding the Fourth Proportional to 3,440.79, 5,160.15 and 975.81

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Solution

The fourth proportional to 3,440.79, 5,160.15 and 975.81 is: 1,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.79 : 5,160.15 = 975.81 : x
  2. Step 2: Convert to fraction form
    3,440.79/5,160.15 = 975.81/x
  3. Step 3: Cross multiply
    3,440.79x = 5,160.15 × 975.81
  4. Step 4: Simplify right side
    3,440.79x = 5,035,325.97
  5. Step 5: Solve for x
    x = 5,035,325.97/3,440.79
  6. Step 6: Final answer
    x = 1,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.