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Finding the Fourth Proportional to 30,416.86, 45,629.63 and 9,358.65

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Solution

The fourth proportional to 30,416.86, 45,629.63 and 9,358.65 is: 14,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.86 : 45,629.63 = 9,358.65 : x
  2. Step 2: Convert to fraction form
    30,416.86/45,629.63 = 9,358.65/x
  3. Step 3: Cross multiply
    30,416.86x = 45,629.63 × 9,358.65
  4. Step 4: Simplify right side
    30,416.86x = 427,031,690.01
  5. Step 5: Solve for x
    x = 427,031,690.01/30,416.86
  6. Step 6: Final answer
    x = 14,039.31

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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.