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Finding the Fourth Proportional to 5,707.80, 8,561.70 and 1,812.50

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Solution

The fourth proportional to 5,707.80, 8,561.70 and 1,812.50 is: 2,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.80 : 8,561.70 = 1,812.50 : x
  2. Step 2: Convert to fraction form
    5,707.80/8,561.70 = 1,812.50/x
  3. Step 3: Cross multiply
    5,707.80x = 8,561.70 × 1,812.50
  4. Step 4: Simplify right side
    5,707.80x = 15,518,081.25
  5. Step 5: Solve for x
    x = 15,518,081.25/5,707.80
  6. Step 6: Final answer
    x = 2,718.75

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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.