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Finding the Fourth Proportional to 7,730.64, 10,675.84 and 6,605

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Solution

The fourth proportional to 7,730.64, 10,675.84 and 6,605 is: 9,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.64 : 10,675.84 = 6,605 : x
  2. Step 2: Convert to fraction form
    7,730.64/10,675.84 = 6,605/x
  3. Step 3: Cross multiply
    7,730.64x = 10,675.84 × 6,605
  4. Step 4: Simplify right side
    7,730.64x = 70,513,923.20
  5. Step 5: Solve for x
    x = 70,513,923.20/7,730.64
  6. Step 6: Final answer
    x = 9,121.36

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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.