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Finding the Fourth Proportional to 30,502.50, 45,752.38 and 8,315.86

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Solution

The fourth proportional to 30,502.50, 45,752.38 and 8,315.86 is: 12,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.50 : 45,752.38 = 8,315.86 : x
  2. Step 2: Convert to fraction form
    30,502.50/45,752.38 = 8,315.86/x
  3. Step 3: Cross multiply
    30,502.50x = 45,752.38 × 8,315.86
  4. Step 4: Simplify right side
    30,502.50x = 380,470,386.75
  5. Step 5: Solve for x
    x = 380,470,386.75/30,502.50
  6. Step 6: Final answer
    x = 12,473.42

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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.