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Finding the Fourth Proportional to 30,630.79, 45,961.31 and 14,849.11

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Solution

The fourth proportional to 30,630.79, 45,961.31 and 14,849.11 is: 22,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.79 : 45,961.31 = 14,849.11 : x
  2. Step 2: Convert to fraction form
    30,630.79/45,961.31 = 14,849.11/x
  3. Step 3: Cross multiply
    30,630.79x = 45,961.31 × 14,849.11
  4. Step 4: Simplify right side
    30,630.79x = 682,484,547.93
  5. Step 5: Solve for x
    x = 682,484,547.93/30,630.79
  6. Step 6: Final answer
    x = 22,281.00

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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.