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Finding the Fourth Proportional to 30,489.02, 45,741.74 and 15,689.87

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Solution

The fourth proportional to 30,489.02, 45,741.74 and 15,689.87 is: 23,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.02 : 45,741.74 = 15,689.87 : x
  2. Step 2: Convert to fraction form
    30,489.02/45,741.74 = 15,689.87/x
  3. Step 3: Cross multiply
    30,489.02x = 45,741.74 × 15,689.87
  4. Step 4: Simplify right side
    30,489.02x = 717,681,954.17
  5. Step 5: Solve for x
    x = 717,681,954.17/30,489.02
  6. Step 6: Final answer
    x = 23,539.03

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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.