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Finding the Fourth Proportional to 10,909.71, 15,056.97 and 7,894.62

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Solution

The fourth proportional to 10,909.71, 15,056.97 and 7,894.62 is: 10,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.71 : 15,056.97 = 7,894.62 : x
  2. Step 2: Convert to fraction form
    10,909.71/15,056.97 = 7,894.62/x
  3. Step 3: Cross multiply
    10,909.71x = 15,056.97 × 7,894.62
  4. Step 4: Simplify right side
    10,909.71x = 118,869,056.50
  5. Step 5: Solve for x
    x = 118,869,056.50/10,909.71
  6. Step 6: Final answer
    x = 10,895.71

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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.