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Finding the Fourth Proportional to 10,984.80, 16,503.12 and 9,040.80

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Solution

The fourth proportional to 10,984.80, 16,503.12 and 9,040.80 is: 13,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.80 : 16,503.12 = 9,040.80 : x
  2. Step 2: Convert to fraction form
    10,984.80/16,503.12 = 9,040.80/x
  3. Step 3: Cross multiply
    10,984.80x = 16,503.12 × 9,040.80
  4. Step 4: Simplify right side
    10,984.80x = 149,201,407.30
  5. Step 5: Solve for x
    x = 149,201,407.30/10,984.80
  6. Step 6: Final answer
    x = 13,582.53

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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.