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Finding the Fourth Proportional to 9,396.86, 12,970 and 5,622.26

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Solution

The fourth proportional to 9,396.86, 12,970 and 5,622.26 is: 7,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.86 : 12,970 = 5,622.26 : x
  2. Step 2: Convert to fraction form
    9,396.86/12,970 = 5,622.26/x
  3. Step 3: Cross multiply
    9,396.86x = 12,970 × 5,622.26
  4. Step 4: Simplify right side
    9,396.86x = 72,920,712.20
  5. Step 5: Solve for x
    x = 72,920,712.20/9,396.86
  6. Step 6: Final answer
    x = 7,760.11

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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.