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Finding the Fourth Proportional to 30,988, 46,463.51 and 12,270.72

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Solution

The fourth proportional to 30,988, 46,463.51 and 12,270.72 is: 18,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988 : 46,463.51 = 12,270.72 : x
  2. Step 2: Convert to fraction form
    30,988/46,463.51 = 12,270.72/x
  3. Step 3: Cross multiply
    30,988x = 46,463.51 × 12,270.72
  4. Step 4: Simplify right side
    30,988x = 570,140,721.43
  5. Step 5: Solve for x
    x = 570,140,721.43/30,988
  6. Step 6: Final answer
    x = 18,398.76

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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.