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Finding the Fourth Proportional to 5,780.86, 8,675.90 and 2,085.68

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Solution

The fourth proportional to 5,780.86, 8,675.90 and 2,085.68 is: 3,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.86 : 8,675.90 = 2,085.68 : x
  2. Step 2: Convert to fraction form
    5,780.86/8,675.90 = 2,085.68/x
  3. Step 3: Cross multiply
    5,780.86x = 8,675.90 × 2,085.68
  4. Step 4: Simplify right side
    5,780.86x = 18,095,148.96
  5. Step 5: Solve for x
    x = 18,095,148.96/5,780.86
  6. Step 6: Final answer
    x = 3,130.18

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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.