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Finding the Fourth Proportional to 30,685.68, 46,086.87 and 19,080

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Solution

The fourth proportional to 30,685.68, 46,086.87 and 19,080 is: 28,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.68 : 46,086.87 = 19,080 : x
  2. Step 2: Convert to fraction form
    30,685.68/46,086.87 = 19,080/x
  3. Step 3: Cross multiply
    30,685.68x = 46,086.87 × 19,080
  4. Step 4: Simplify right side
    30,685.68x = 879,337,479.60
  5. Step 5: Solve for x
    x = 879,337,479.60/30,685.68
  6. Step 6: Final answer
    x = 28,656.28

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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.