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Finding the Fourth Proportional to 6,440.04, 9,660.15 and 1,823.04

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Solution

The fourth proportional to 6,440.04, 9,660.15 and 1,823.04 is: 2,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.04 : 9,660.15 = 1,823.04 : x
  2. Step 2: Convert to fraction form
    6,440.04/9,660.15 = 1,823.04/x
  3. Step 3: Cross multiply
    6,440.04x = 9,660.15 × 1,823.04
  4. Step 4: Simplify right side
    6,440.04x = 17,610,839.86
  5. Step 5: Solve for x
    x = 17,610,839.86/6,440.04
  6. Step 6: Final answer
    x = 2,734.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.