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Finding the Fourth Proportional to 2,772.04, 4,157.98 and 948.04

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Solution

The fourth proportional to 2,772.04, 4,157.98 and 948.04 is: 1,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.04 : 4,157.98 = 948.04 : x
  2. Step 2: Convert to fraction form
    2,772.04/4,157.98 = 948.04/x
  3. Step 3: Cross multiply
    2,772.04x = 4,157.98 × 948.04
  4. Step 4: Simplify right side
    2,772.04x = 3,941,931.36
  5. Step 5: Solve for x
    x = 3,941,931.36/2,772.04
  6. Step 6: Final answer
    x = 1,422.03

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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.