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Finding the Fourth Proportional to 30,294.81, 45,438.98 and 8,110.40

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Solution

The fourth proportional to 30,294.81, 45,438.98 and 8,110.40 is: 12,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.81 : 45,438.98 = 8,110.40 : x
  2. Step 2: Convert to fraction form
    30,294.81/45,438.98 = 8,110.40/x
  3. Step 3: Cross multiply
    30,294.81x = 45,438.98 × 8,110.40
  4. Step 4: Simplify right side
    30,294.81x = 368,528,035.65
  5. Step 5: Solve for x
    x = 368,528,035.65/30,294.81
  6. Step 6: Final answer
    x = 12,164.73

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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.