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Finding the Fourth Proportional to 30,708.88, 46,073.04 and 10,987

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Solution

The fourth proportional to 30,708.88, 46,073.04 and 10,987 is: 16,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.88 : 46,073.04 = 10,987 : x
  2. Step 2: Convert to fraction form
    30,708.88/46,073.04 = 10,987/x
  3. Step 3: Cross multiply
    30,708.88x = 46,073.04 × 10,987
  4. Step 4: Simplify right side
    30,708.88x = 506,204,490.48
  5. Step 5: Solve for x
    x = 506,204,490.48/30,708.88
  6. Step 6: Final answer
    x = 16,483.98

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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.