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Finding the Fourth Proportional to 2,772.47, 4,157.16 and 922.57

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Solution

The fourth proportional to 2,772.47, 4,157.16 and 922.57 is: 1,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.47 : 4,157.16 = 922.57 : x
  2. Step 2: Convert to fraction form
    2,772.47/4,157.16 = 922.57/x
  3. Step 3: Cross multiply
    2,772.47x = 4,157.16 × 922.57
  4. Step 4: Simplify right side
    2,772.47x = 3,835,271.10
  5. Step 5: Solve for x
    x = 3,835,271.10/2,772.47
  6. Step 6: Final answer
    x = 1,383.34

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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.