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Finding the Fourth Proportional to 1,972.95, 2,714.28 and 1,918.28

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Solution

The fourth proportional to 1,972.95, 2,714.28 and 1,918.28 is: 2,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.95 : 2,714.28 = 1,918.28 : x
  2. Step 2: Convert to fraction form
    1,972.95/2,714.28 = 1,918.28/x
  3. Step 3: Cross multiply
    1,972.95x = 2,714.28 × 1,918.28
  4. Step 4: Simplify right side
    1,972.95x = 5,206,749.04
  5. Step 5: Solve for x
    x = 5,206,749.04/1,972.95
  6. Step 6: Final answer
    x = 2,639.07

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1.5x scale

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.