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Finding the Fourth Proportional to 6,981.04, 9,628.68 and 5,405.68

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Solution

The fourth proportional to 6,981.04, 9,628.68 and 5,405.68 is: 7,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.04 : 9,628.68 = 5,405.68 : x
  2. Step 2: Convert to fraction form
    6,981.04/9,628.68 = 5,405.68/x
  3. Step 3: Cross multiply
    6,981.04x = 9,628.68 × 5,405.68
  4. Step 4: Simplify right side
    6,981.04x = 52,049,562.90
  5. Step 5: Solve for x
    x = 52,049,562.90/6,981.04
  6. Step 6: Final answer
    x = 7,455.85

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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.