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Finding the Fourth Proportional to 4,788.12, 7,178.64 and 1,864.92

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Solution

The fourth proportional to 4,788.12, 7,178.64 and 1,864.92 is: 2,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.12 : 7,178.64 = 1,864.92 : x
  2. Step 2: Convert to fraction form
    4,788.12/7,178.64 = 1,864.92/x
  3. Step 3: Cross multiply
    4,788.12x = 7,178.64 × 1,864.92
  4. Step 4: Simplify right side
    4,788.12x = 13,387,589.31
  5. Step 5: Solve for x
    x = 13,387,589.31/4,788.12
  6. Step 6: Final answer
    x = 2,796.00

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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.