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Finding the Fourth Proportional to 10,969.16, 16,415.46 and 8,971.70

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Solution

The fourth proportional to 10,969.16, 16,415.46 and 8,971.70 is: 13,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.16 : 16,415.46 = 8,971.70 : x
  2. Step 2: Convert to fraction form
    10,969.16/16,415.46 = 8,971.70/x
  3. Step 3: Cross multiply
    10,969.16x = 16,415.46 × 8,971.70
  4. Step 4: Simplify right side
    10,969.16x = 147,274,582.48
  5. Step 5: Solve for x
    x = 147,274,582.48/10,969.16
  6. Step 6: Final answer
    x = 13,426.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.