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Finding the Fourth Proportional to 6,390.14, 9,618.84 and 5,829.62

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Solution

The fourth proportional to 6,390.14, 9,618.84 and 5,829.62 is: 8,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.14 : 9,618.84 = 5,829.62 : x
  2. Step 2: Convert to fraction form
    6,390.14/9,618.84 = 5,829.62/x
  3. Step 3: Cross multiply
    6,390.14x = 9,618.84 × 5,829.62
  4. Step 4: Simplify right side
    6,390.14x = 56,074,133.95
  5. Step 5: Solve for x
    x = 56,074,133.95/6,390.14
  6. Step 6: Final answer
    x = 8,775.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.