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Finding the Fourth Proportional to 3,901.84, 5,852.78 and 980.15

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Solution

The fourth proportional to 3,901.84, 5,852.78 and 980.15 is: 1,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.84 : 5,852.78 = 980.15 : x
  2. Step 2: Convert to fraction form
    3,901.84/5,852.78 = 980.15/x
  3. Step 3: Cross multiply
    3,901.84x = 5,852.78 × 980.15
  4. Step 4: Simplify right side
    3,901.84x = 5,736,585.23
  5. Step 5: Solve for x
    x = 5,736,585.23/3,901.84
  6. Step 6: Final answer
    x = 1,470.22

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1.5x scale

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.