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Finding the Fourth Proportional to 12,950.70, 17,878.47 and 7,647.18

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Solution

The fourth proportional to 12,950.70, 17,878.47 and 7,647.18 is: 10,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.70 : 17,878.47 = 7,647.18 : x
  2. Step 2: Convert to fraction form
    12,950.70/17,878.47 = 7,647.18/x
  3. Step 3: Cross multiply
    12,950.70x = 17,878.47 × 7,647.18
  4. Step 4: Simplify right side
    12,950.70x = 136,719,878.21
  5. Step 5: Solve for x
    x = 136,719,878.21/12,950.70
  6. Step 6: Final answer
    x = 10,556.95

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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.