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Finding the Fourth Proportional to 12,678.76, 17,492.38 and 7,641.08

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Solution

The fourth proportional to 12,678.76, 17,492.38 and 7,641.08 is: 10,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.76 : 17,492.38 = 7,641.08 : x
  2. Step 2: Convert to fraction form
    12,678.76/17,492.38 = 7,641.08/x
  3. Step 3: Cross multiply
    12,678.76x = 17,492.38 × 7,641.08
  4. Step 4: Simplify right side
    12,678.76x = 133,660,674.97
  5. Step 5: Solve for x
    x = 133,660,674.97/12,678.76
  6. Step 6: Final answer
    x = 10,542.09

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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.