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Finding the Fourth Proportional to 30,416.40, 45,628.92 and 9,358.19

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Solution

The fourth proportional to 30,416.40, 45,628.92 and 9,358.19 is: 14,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.40 : 45,628.92 = 9,358.19 : x
  2. Step 2: Convert to fraction form
    30,416.40/45,628.92 = 9,358.19/x
  3. Step 3: Cross multiply
    30,416.40x = 45,628.92 × 9,358.19
  4. Step 4: Simplify right side
    30,416.40x = 427,003,874.71
  5. Step 5: Solve for x
    x = 427,003,874.71/30,416.40
  6. Step 6: Final answer
    x = 14,038.61

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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.