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Finding the Fourth Proportional to 11,967.84, 16,521.84 and 8,434.08

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Solution

The fourth proportional to 11,967.84, 16,521.84 and 8,434.08 is: 11,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.84 : 16,521.84 = 8,434.08 : x
  2. Step 2: Convert to fraction form
    11,967.84/16,521.84 = 8,434.08/x
  3. Step 3: Cross multiply
    11,967.84x = 16,521.84 × 8,434.08
  4. Step 4: Simplify right side
    11,967.84x = 139,346,520.31
  5. Step 5: Solve for x
    x = 139,346,520.31/11,967.84
  6. Step 6: Final answer
    x = 11,643.41

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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.