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Finding the Fourth Proportional to 10,476.68, 14,480.78 and 9,208.22

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Solution

The fourth proportional to 10,476.68, 14,480.78 and 9,208.22 is: 12,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.68 : 14,480.78 = 9,208.22 : x
  2. Step 2: Convert to fraction form
    10,476.68/14,480.78 = 9,208.22/x
  3. Step 3: Cross multiply
    10,476.68x = 14,480.78 × 9,208.22
  4. Step 4: Simplify right side
    10,476.68x = 133,342,089.57
  5. Step 5: Solve for x
    x = 133,342,089.57/10,476.68
  6. Step 6: Final answer
    x = 12,727.52

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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.