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Finding the Fourth Proportional to 13,029.18, 19,539 and 4,707.20

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Solution

The fourth proportional to 13,029.18, 19,539 and 4,707.20 is: 7,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.18 : 19,539 = 4,707.20 : x
  2. Step 2: Convert to fraction form
    13,029.18/19,539 = 4,707.20/x
  3. Step 3: Cross multiply
    13,029.18x = 19,539 × 4,707.20
  4. Step 4: Simplify right side
    13,029.18x = 91,973,883.11
  5. Step 5: Solve for x
    x = 91,973,883.11/13,029.18
  6. Step 6: Final answer
    x = 7,059.07

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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.