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Finding the Fourth Proportional to 3,097.76, 4,637.04 and 1,938.08

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Solution

The fourth proportional to 3,097.76, 4,637.04 and 1,938.08 is: 2,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.76 : 4,637.04 = 1,938.08 : x
  2. Step 2: Convert to fraction form
    3,097.76/4,637.04 = 1,938.08/x
  3. Step 3: Cross multiply
    3,097.76x = 4,637.04 × 1,938.08
  4. Step 4: Simplify right side
    3,097.76x = 8,986,954.48
  5. Step 5: Solve for x
    x = 8,986,954.48/3,097.76
  6. Step 6: Final answer
    x = 2,901.11

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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.