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Finding the Fourth Proportional to 19,360, 29,040.32 and 8,416

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Solution

The fourth proportional to 19,360, 29,040.32 and 8,416 is: 12,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,360 : 29,040.32 = 8,416 : x
  2. Step 2: Convert to fraction form
    19,360/29,040.32 = 8,416/x
  3. Step 3: Cross multiply
    19,360x = 29,040.32 × 8,416
  4. Step 4: Simplify right side
    19,360x = 244,403,333.12
  5. Step 5: Solve for x
    x = 244,403,333.12/19,360
  6. Step 6: Final answer
    x = 12,624.14

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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.