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Finding the Fourth Proportional to 19,941.20, 29,904.60 and 10,077.20

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Solution

The fourth proportional to 19,941.20, 29,904.60 and 10,077.20 is: 15,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.20 : 29,904.60 = 10,077.20 : x
  2. Step 2: Convert to fraction form
    19,941.20/29,904.60 = 10,077.20/x
  3. Step 3: Cross multiply
    19,941.20x = 29,904.60 × 10,077.20
  4. Step 4: Simplify right side
    19,941.20x = 301,354,635.12
  5. Step 5: Solve for x
    x = 301,354,635.12/19,941.20
  6. Step 6: Final answer
    x = 15,112.16

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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.