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Finding the Fourth Proportional to 5,329.86, 7,987.80 and 2,367.30

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Solution

The fourth proportional to 5,329.86, 7,987.80 and 2,367.30 is: 3,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.86 : 7,987.80 = 2,367.30 : x
  2. Step 2: Convert to fraction form
    5,329.86/7,987.80 = 2,367.30/x
  3. Step 3: Cross multiply
    5,329.86x = 7,987.80 × 2,367.30
  4. Step 4: Simplify right side
    5,329.86x = 18,909,518.94
  5. Step 5: Solve for x
    x = 18,909,518.94/5,329.86
  6. Step 6: Final answer
    x = 3,547.85

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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.