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Finding the Fourth Proportional to 4,172.97, 6,259.97 and 1,981.18

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Solution

The fourth proportional to 4,172.97, 6,259.97 and 1,981.18 is: 2,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.97 : 6,259.97 = 1,981.18 : x
  2. Step 2: Convert to fraction form
    4,172.97/6,259.97 = 1,981.18/x
  3. Step 3: Cross multiply
    4,172.97x = 6,259.97 × 1,981.18
  4. Step 4: Simplify right side
    4,172.97x = 12,402,127.36
  5. Step 5: Solve for x
    x = 12,402,127.36/4,172.97
  6. Step 6: Final answer
    x = 2,972.01

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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.