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Finding the Fourth Proportional to 10,809.80, 16,214.70 and 10,032.20

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Solution

The fourth proportional to 10,809.80, 16,214.70 and 10,032.20 is: 15,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.80 : 16,214.70 = 10,032.20 : x
  2. Step 2: Convert to fraction form
    10,809.80/16,214.70 = 10,032.20/x
  3. Step 3: Cross multiply
    10,809.80x = 16,214.70 × 10,032.20
  4. Step 4: Simplify right side
    10,809.80x = 162,669,113.34
  5. Step 5: Solve for x
    x = 162,669,113.34/10,809.80
  6. Step 6: Final answer
    x = 15,048.30

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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.