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Finding the Fourth Proportional to 12,950.16, 17,878.05 and 9,176.46

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Solution

The fourth proportional to 12,950.16, 17,878.05 and 9,176.46 is: 12,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.16 : 17,878.05 = 9,176.46 : x
  2. Step 2: Convert to fraction form
    12,950.16/17,878.05 = 9,176.46/x
  3. Step 3: Cross multiply
    12,950.16x = 17,878.05 × 9,176.46
  4. Step 4: Simplify right side
    12,950.16x = 164,057,210.70
  5. Step 5: Solve for x
    x = 164,057,210.70/12,950.16
  6. Step 6: Final answer
    x = 12,668.35

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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.