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Finding the Fourth Proportional to 10,666.61, 14,724.64 and 6,891.62

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Solution

The fourth proportional to 10,666.61, 14,724.64 and 6,891.62 is: 9,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.61 : 14,724.64 = 6,891.62 : x
  2. Step 2: Convert to fraction form
    10,666.61/14,724.64 = 6,891.62/x
  3. Step 3: Cross multiply
    10,666.61x = 14,724.64 × 6,891.62
  4. Step 4: Simplify right side
    10,666.61x = 101,476,623.52
  5. Step 5: Solve for x
    x = 101,476,623.52/10,666.61
  6. Step 6: Final answer
    x = 9,513.48

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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.