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Finding the Fourth Proportional to 15,151.30, 20,905.23 and 9,181.60

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Solution

The fourth proportional to 15,151.30, 20,905.23 and 9,181.60 is: 12,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.30 : 20,905.23 = 9,181.60 : x
  2. Step 2: Convert to fraction form
    15,151.30/20,905.23 = 9,181.60/x
  3. Step 3: Cross multiply
    15,151.30x = 20,905.23 × 9,181.60
  4. Step 4: Simplify right side
    15,151.30x = 191,943,459.77
  5. Step 5: Solve for x
    x = 191,943,459.77/15,151.30
  6. Step 6: Final answer
    x = 12,668.45

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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.