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Finding the Fourth Proportional to 3,061.48, 4,592.50 and 981.54

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Solution

The fourth proportional to 3,061.48, 4,592.50 and 981.54 is: 1,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.48 : 4,592.50 = 981.54 : x
  2. Step 2: Convert to fraction form
    3,061.48/4,592.50 = 981.54/x
  3. Step 3: Cross multiply
    3,061.48x = 4,592.50 × 981.54
  4. Step 4: Simplify right side
    3,061.48x = 4,507,722.45
  5. Step 5: Solve for x
    x = 4,507,722.45/3,061.48
  6. Step 6: Final answer
    x = 1,472.40

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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.