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Finding the Fourth Proportional to 7,788.24, 10,742.44 and 4,642

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Solution

The fourth proportional to 7,788.24, 10,742.44 and 4,642 is: 6,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.24 : 10,742.44 = 4,642 : x
  2. Step 2: Convert to fraction form
    7,788.24/10,742.44 = 4,642/x
  3. Step 3: Cross multiply
    7,788.24x = 10,742.44 × 4,642
  4. Step 4: Simplify right side
    7,788.24x = 49,866,406.48
  5. Step 5: Solve for x
    x = 49,866,406.48/7,788.24
  6. Step 6: Final answer
    x = 6,402.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.