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Finding the Fourth Proportional to 3,777.61, 5,666.93 and 1,585.82

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Solution

The fourth proportional to 3,777.61, 5,666.93 and 1,585.82 is: 2,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.61 : 5,666.93 = 1,585.82 : x
  2. Step 2: Convert to fraction form
    3,777.61/5,666.93 = 1,585.82/x
  3. Step 3: Cross multiply
    3,777.61x = 5,666.93 × 1,585.82
  4. Step 4: Simplify right side
    3,777.61x = 8,986,730.93
  5. Step 5: Solve for x
    x = 8,986,730.93/3,777.61
  6. Step 6: Final answer
    x = 2,378.95

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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.