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Finding the Fourth Proportional to 2,489.86, 3,437.50 and 2,213.08

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Solution

The fourth proportional to 2,489.86, 3,437.50 and 2,213.08 is: 3,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.86 : 3,437.50 = 2,213.08 : x
  2. Step 2: Convert to fraction form
    2,489.86/3,437.50 = 2,213.08/x
  3. Step 3: Cross multiply
    2,489.86x = 3,437.50 × 2,213.08
  4. Step 4: Simplify right side
    2,489.86x = 7,607,462.50
  5. Step 5: Solve for x
    x = 7,607,462.50/2,489.86
  6. Step 6: Final answer
    x = 3,055.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.