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Finding the Fourth Proportional to 7,069.20, 9,734.76 and 6,477.84

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Solution

The fourth proportional to 7,069.20, 9,734.76 and 6,477.84 is: 8,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.20 : 9,734.76 = 6,477.84 : x
  2. Step 2: Convert to fraction form
    7,069.20/9,734.76 = 6,477.84/x
  3. Step 3: Cross multiply
    7,069.20x = 9,734.76 × 6,477.84
  4. Step 4: Simplify right side
    7,069.20x = 63,060,217.72
  5. Step 5: Solve for x
    x = 63,060,217.72/7,069.20
  6. Step 6: Final answer
    x = 8,920.42

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1.5x scale

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.