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Finding the Fourth Proportional to 2,391.44, 3,587.76 and 931.01

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Solution

The fourth proportional to 2,391.44, 3,587.76 and 931.01 is: 1,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.44 : 3,587.76 = 931.01 : x
  2. Step 2: Convert to fraction form
    2,391.44/3,587.76 = 931.01/x
  3. Step 3: Cross multiply
    2,391.44x = 3,587.76 × 931.01
  4. Step 4: Simplify right side
    2,391.44x = 3,340,222.50
  5. Step 5: Solve for x
    x = 3,340,222.50/2,391.44
  6. Step 6: Final answer
    x = 1,396.74

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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.