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Finding the Fourth Proportional to 30,681.88, 45,985.16 and 15,882.37

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Solution

The fourth proportional to 30,681.88, 45,985.16 and 15,882.37 is: 23,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.88 : 45,985.16 = 15,882.37 : x
  2. Step 2: Convert to fraction form
    30,681.88/45,985.16 = 15,882.37/x
  3. Step 3: Cross multiply
    30,681.88x = 45,985.16 × 15,882.37
  4. Step 4: Simplify right side
    30,681.88x = 730,353,246.22
  5. Step 5: Solve for x
    x = 730,353,246.22/30,681.88
  6. Step 6: Final answer
    x = 23,804.06

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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.