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Finding the Fourth Proportional to 9,354.74, 12,911.21 and 5,578.16

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Solution

The fourth proportional to 9,354.74, 12,911.21 and 5,578.16 is: 7,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.74 : 12,911.21 = 5,578.16 : x
  2. Step 2: Convert to fraction form
    9,354.74/12,911.21 = 5,578.16/x
  3. Step 3: Cross multiply
    9,354.74x = 12,911.21 × 5,578.16
  4. Step 4: Simplify right side
    9,354.74x = 72,020,702.73
  5. Step 5: Solve for x
    x = 72,020,702.73/9,354.74
  6. Step 6: Final answer
    x = 7,698.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.