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Finding the Fourth Proportional to 19,229.85, 28,854 and 10,464.78

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Solution

The fourth proportional to 19,229.85, 28,854 and 10,464.78 is: 15,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.85 : 28,854 = 10,464.78 : x
  2. Step 2: Convert to fraction form
    19,229.85/28,854 = 10,464.78/x
  3. Step 3: Cross multiply
    19,229.85x = 28,854 × 10,464.78
  4. Step 4: Simplify right side
    19,229.85x = 301,950,762.12
  5. Step 5: Solve for x
    x = 301,950,762.12/19,229.85
  6. Step 6: Final answer
    x = 15,702.19

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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.