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Finding the Fourth Proportional to 7,784.50, 10,742.61 and 4,990

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Solution

The fourth proportional to 7,784.50, 10,742.61 and 4,990 is: 6,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.50 : 10,742.61 = 4,990 : x
  2. Step 2: Convert to fraction form
    7,784.50/10,742.61 = 4,990/x
  3. Step 3: Cross multiply
    7,784.50x = 10,742.61 × 4,990
  4. Step 4: Simplify right side
    7,784.50x = 53,605,623.90
  5. Step 5: Solve for x
    x = 53,605,623.90/7,784.50
  6. Step 6: Final answer
    x = 6,886.20

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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.