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Finding the Fourth Proportional to 2,024.52, 3,036.84 and 638.32

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Solution

The fourth proportional to 2,024.52, 3,036.84 and 638.32 is: 957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.52 : 3,036.84 = 638.32 : x
  2. Step 2: Convert to fraction form
    2,024.52/3,036.84 = 638.32/x
  3. Step 3: Cross multiply
    2,024.52x = 3,036.84 × 638.32
  4. Step 4: Simplify right side
    2,024.52x = 1,938,475.71
  5. Step 5: Solve for x
    x = 1,938,475.71/2,024.52
  6. Step 6: Final answer
    x = 957.50

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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.