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Finding the Fourth Proportional to 5,745.95, 8,618.62 and 1,585.99

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Solution

The fourth proportional to 5,745.95, 8,618.62 and 1,585.99 is: 2,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.95 : 8,618.62 = 1,585.99 : x
  2. Step 2: Convert to fraction form
    5,745.95/8,618.62 = 1,585.99/x
  3. Step 3: Cross multiply
    5,745.95x = 8,618.62 × 1,585.99
  4. Step 4: Simplify right side
    5,745.95x = 13,669,045.13
  5. Step 5: Solve for x
    x = 13,669,045.13/5,745.95
  6. Step 6: Final answer
    x = 2,378.90

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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.