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Finding the Fourth Proportional to 7,189.61, 10,780.92 and 2,509.91

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Solution

The fourth proportional to 7,189.61, 10,780.92 and 2,509.91 is: 3,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.61 : 10,780.92 = 2,509.91 : x
  2. Step 2: Convert to fraction form
    7,189.61/10,780.92 = 2,509.91/x
  3. Step 3: Cross multiply
    7,189.61x = 10,780.92 × 2,509.91
  4. Step 4: Simplify right side
    7,189.61x = 27,059,085.01
  5. Step 5: Solve for x
    x = 27,059,085.01/7,189.61
  6. Step 6: Final answer
    x = 3,763.64

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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.