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Finding the Fourth Proportional to 2,590.36, 3,884.98 and 740.96

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Solution

The fourth proportional to 2,590.36, 3,884.98 and 740.96 is: 1,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.36 : 3,884.98 = 740.96 : x
  2. Step 2: Convert to fraction form
    2,590.36/3,884.98 = 740.96/x
  3. Step 3: Cross multiply
    2,590.36x = 3,884.98 × 740.96
  4. Step 4: Simplify right side
    2,590.36x = 2,878,614.78
  5. Step 5: Solve for x
    x = 2,878,614.78/2,590.36
  6. Step 6: Final answer
    x = 1,111.28

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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.