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Finding the Fourth Proportional to 13,028.76, 19,539 and 4,707.68

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Solution

The fourth proportional to 13,028.76, 19,539 and 4,707.68 is: 7,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.76 : 19,539 = 4,707.68 : x
  2. Step 2: Convert to fraction form
    13,028.76/19,539 = 4,707.68/x
  3. Step 3: Cross multiply
    13,028.76x = 19,539 × 4,707.68
  4. Step 4: Simplify right side
    13,028.76x = 91,983,261.83
  5. Step 5: Solve for x
    x = 91,983,261.83/13,028.76
  6. Step 6: Final answer
    x = 7,060.02

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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.