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Finding the Fourth Proportional to 30,987, 46,462.01 and 12,269.72

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Solution

The fourth proportional to 30,987, 46,462.01 and 12,269.72 is: 18,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987 : 46,462.01 = 12,269.72 : x
  2. Step 2: Convert to fraction form
    30,987/46,462.01 = 12,269.72/x
  3. Step 3: Cross multiply
    30,987x = 46,462.01 × 12,269.72
  4. Step 4: Simplify right side
    30,987x = 570,076,000.17
  5. Step 5: Solve for x
    x = 570,076,000.17/30,987
  6. Step 6: Final answer
    x = 18,397.26

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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.