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Finding the Fourth Proportional to 9,225.90, 13,822.65 and 7,929.90

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Solution

The fourth proportional to 9,225.90, 13,822.65 and 7,929.90 is: 11,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.90 : 13,822.65 = 7,929.90 : x
  2. Step 2: Convert to fraction form
    9,225.90/13,822.65 = 7,929.90/x
  3. Step 3: Cross multiply
    9,225.90x = 13,822.65 × 7,929.90
  4. Step 4: Simplify right side
    9,225.90x = 109,612,232.24
  5. Step 5: Solve for x
    x = 109,612,232.24/9,225.90
  6. Step 6: Final answer
    x = 11,880.93

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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.