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Finding the Fourth Proportional to 30,531.15, 45,803.30 and 9,470.77

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Solution

The fourth proportional to 30,531.15, 45,803.30 and 9,470.77 is: 14,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.15 : 45,803.30 = 9,470.77 : x
  2. Step 2: Convert to fraction form
    30,531.15/45,803.30 = 9,470.77/x
  3. Step 3: Cross multiply
    30,531.15x = 45,803.30 × 9,470.77
  4. Step 4: Simplify right side
    30,531.15x = 433,792,519.54
  5. Step 5: Solve for x
    x = 433,792,519.54/30,531.15
  6. Step 6: Final answer
    x = 14,208.19

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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.