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Finding the Fourth Proportional to 5,185.86, 7,780.30 and 1,675.80

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Solution

The fourth proportional to 5,185.86, 7,780.30 and 1,675.80 is: 2,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.86 : 7,780.30 = 1,675.80 : x
  2. Step 2: Convert to fraction form
    5,185.86/7,780.30 = 1,675.80/x
  3. Step 3: Cross multiply
    5,185.86x = 7,780.30 × 1,675.80
  4. Step 4: Simplify right side
    5,185.86x = 13,038,226.74
  5. Step 5: Solve for x
    x = 13,038,226.74/5,185.86
  6. Step 6: Final answer
    x = 2,514.19

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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.