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Finding the Fourth Proportional to 5,770.51, 8,655.75 and 1,387.96

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Solution

The fourth proportional to 5,770.51, 8,655.75 and 1,387.96 is: 2,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.51 : 8,655.75 = 1,387.96 : x
  2. Step 2: Convert to fraction form
    5,770.51/8,655.75 = 1,387.96/x
  3. Step 3: Cross multiply
    5,770.51x = 8,655.75 × 1,387.96
  4. Step 4: Simplify right side
    5,770.51x = 12,013,834.77
  5. Step 5: Solve for x
    x = 12,013,834.77/5,770.51
  6. Step 6: Final answer
    x = 2,081.94

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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.