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Finding the Fourth Proportional to 9,384.36, 12,950.10 and 5,404.92

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Solution

The fourth proportional to 9,384.36, 12,950.10 and 5,404.92 is: 7,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.36 : 12,950.10 = 5,404.92 : x
  2. Step 2: Convert to fraction form
    9,384.36/12,950.10 = 5,404.92/x
  3. Step 3: Cross multiply
    9,384.36x = 12,950.10 × 5,404.92
  4. Step 4: Simplify right side
    9,384.36x = 69,994,254.49
  5. Step 5: Solve for x
    x = 69,994,254.49/9,384.36
  6. Step 6: Final answer
    x = 7,458.61

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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.