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Finding the Fourth Proportional to 10,762.80, 16,144.20 and 9,669.30

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Solution

The fourth proportional to 10,762.80, 16,144.20 and 9,669.30 is: 14,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.80 : 16,144.20 = 9,669.30 : x
  2. Step 2: Convert to fraction form
    10,762.80/16,144.20 = 9,669.30/x
  3. Step 3: Cross multiply
    10,762.80x = 16,144.20 × 9,669.30
  4. Step 4: Simplify right side
    10,762.80x = 156,103,113.06
  5. Step 5: Solve for x
    x = 156,103,113.06/10,762.80
  6. Step 6: Final answer
    x = 14,503.95

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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.