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Finding the Fourth Proportional to 9,000, 12,420.36 and 5,021.46

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Solution

The fourth proportional to 9,000, 12,420.36 and 5,021.46 is: 6,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 12,420.36 = 5,021.46 : x
  2. Step 2: Convert to fraction form
    9,000/12,420.36 = 5,021.46/x
  3. Step 3: Cross multiply
    9,000x = 12,420.36 × 5,021.46
  4. Step 4: Simplify right side
    9,000x = 62,368,340.93
  5. Step 5: Solve for x
    x = 62,368,340.93/9,000
  6. Step 6: Final answer
    x = 6,929.82

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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.