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Finding the Fourth Proportional to 7,800.12, 11,695.05 and 3,637.89

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Solution

The fourth proportional to 7,800.12, 11,695.05 and 3,637.89 is: 5,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.12 : 11,695.05 = 3,637.89 : x
  2. Step 2: Convert to fraction form
    7,800.12/11,695.05 = 3,637.89/x
  3. Step 3: Cross multiply
    7,800.12x = 11,695.05 × 3,637.89
  4. Step 4: Simplify right side
    7,800.12x = 42,545,305.44
  5. Step 5: Solve for x
    x = 42,545,305.44/7,800.12
  6. Step 6: Final answer
    x = 5,454.44

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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.