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Finding the Fourth Proportional to 3,970.84, 5,480 and 2,292.68

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Solution

The fourth proportional to 3,970.84, 5,480 and 2,292.68 is: 3,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.84 : 5,480 = 2,292.68 : x
  2. Step 2: Convert to fraction form
    3,970.84/5,480 = 2,292.68/x
  3. Step 3: Cross multiply
    3,970.84x = 5,480 × 2,292.68
  4. Step 4: Simplify right side
    3,970.84x = 12,563,886.40
  5. Step 5: Solve for x
    x = 12,563,886.40/3,970.84
  6. Step 6: Final answer
    x = 3,164.04

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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.