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Finding the Fourth Proportional to 11,419.64, 17,130.52 and 4,492.52

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Solution

The fourth proportional to 11,419.64, 17,130.52 and 4,492.52 is: 6,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.64 : 17,130.52 = 4,492.52 : x
  2. Step 2: Convert to fraction form
    11,419.64/17,130.52 = 4,492.52/x
  3. Step 3: Cross multiply
    11,419.64x = 17,130.52 × 4,492.52
  4. Step 4: Simplify right side
    11,419.64x = 76,959,203.71
  5. Step 5: Solve for x
    x = 76,959,203.71/11,419.64
  6. Step 6: Final answer
    x = 6,739.20

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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.