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Finding the Fourth Proportional to 7,146.95, 10,699.16 and 6,396.08

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Solution

The fourth proportional to 7,146.95, 10,699.16 and 6,396.08 is: 9,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.95 : 10,699.16 = 6,396.08 : x
  2. Step 2: Convert to fraction form
    7,146.95/10,699.16 = 6,396.08/x
  3. Step 3: Cross multiply
    7,146.95x = 10,699.16 × 6,396.08
  4. Step 4: Simplify right side
    7,146.95x = 68,432,726.03
  5. Step 5: Solve for x
    x = 68,432,726.03/7,146.95
  6. Step 6: Final answer
    x = 9,575.09

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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.