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Finding the Fourth Proportional to 2,921.93, 4,383.59 and 974.15

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Solution

The fourth proportional to 2,921.93, 4,383.59 and 974.15 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.93 : 4,383.59 = 974.15 : x
  2. Step 2: Convert to fraction form
    2,921.93/4,383.59 = 974.15/x
  3. Step 3: Cross multiply
    2,921.93x = 4,383.59 × 974.15
  4. Step 4: Simplify right side
    2,921.93x = 4,270,247.41
  5. Step 5: Solve for x
    x = 4,270,247.41/2,921.93
  6. Step 6: Final answer
    x = 1,461.45

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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.