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Finding the Fourth Proportional to 2,706.61, 3,731.74 and 2,259.13

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Solution

The fourth proportional to 2,706.61, 3,731.74 and 2,259.13 is: 3,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.61 : 3,731.74 = 2,259.13 : x
  2. Step 2: Convert to fraction form
    2,706.61/3,731.74 = 2,259.13/x
  3. Step 3: Cross multiply
    2,706.61x = 3,731.74 × 2,259.13
  4. Step 4: Simplify right side
    2,706.61x = 8,430,485.79
  5. Step 5: Solve for x
    x = 8,430,485.79/2,706.61
  6. Step 6: Final answer
    x = 3,114.78

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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.