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Finding the Fourth Proportional to 30,415.83, 45,623.70 and 9,637.71

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Solution

The fourth proportional to 30,415.83, 45,623.70 and 9,637.71 is: 14,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.83 : 45,623.70 = 9,637.71 : x
  2. Step 2: Convert to fraction form
    30,415.83/45,623.70 = 9,637.71/x
  3. Step 3: Cross multiply
    30,415.83x = 45,623.70 × 9,637.71
  4. Step 4: Simplify right side
    30,415.83x = 439,707,989.73
  5. Step 5: Solve for x
    x = 439,707,989.73/30,415.83
  6. Step 6: Final answer
    x = 14,456.55

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1.5x scale

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.