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Finding the Fourth Proportional to 10,545.78, 14,554.49 and 6,069.49

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Solution

The fourth proportional to 10,545.78, 14,554.49 and 6,069.49 is: 8,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.78 : 14,554.49 = 6,069.49 : x
  2. Step 2: Convert to fraction form
    10,545.78/14,554.49 = 6,069.49/x
  3. Step 3: Cross multiply
    10,545.78x = 14,554.49 × 6,069.49
  4. Step 4: Simplify right side
    10,545.78x = 88,338,367.11
  5. Step 5: Solve for x
    x = 88,338,367.11/10,545.78
  6. Step 6: Final answer
    x = 8,376.65

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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.