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Finding the Fourth Proportional to 2,887.23, 4,331.16 and 912.92

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Solution

The fourth proportional to 2,887.23, 4,331.16 and 912.92 is: 1,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.23 : 4,331.16 = 912.92 : x
  2. Step 2: Convert to fraction form
    2,887.23/4,331.16 = 912.92/x
  3. Step 3: Cross multiply
    2,887.23x = 4,331.16 × 912.92
  4. Step 4: Simplify right side
    2,887.23x = 3,953,980.93
  5. Step 5: Solve for x
    x = 3,953,980.93/2,887.23
  6. Step 6: Final answer
    x = 1,369.47

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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.