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Finding the Fourth Proportional to 2,588.55, 3,881.93 and 739.17

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Solution

The fourth proportional to 2,588.55, 3,881.93 and 739.17 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.55 : 3,881.93 = 739.17 : x
  2. Step 2: Convert to fraction form
    2,588.55/3,881.93 = 739.17/x
  3. Step 3: Cross multiply
    2,588.55x = 3,881.93 × 739.17
  4. Step 4: Simplify right side
    2,588.55x = 2,869,417.75
  5. Step 5: Solve for x
    x = 2,869,417.75/2,588.55
  6. Step 6: Final answer
    x = 1,108.50

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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.