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Finding the Fourth Proportional to 12,046.40, 16,628.64 and 7,330.40

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Solution

The fourth proportional to 12,046.40, 16,628.64 and 7,330.40 is: 10,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.40 : 16,628.64 = 7,330.40 : x
  2. Step 2: Convert to fraction form
    12,046.40/16,628.64 = 7,330.40/x
  3. Step 3: Cross multiply
    12,046.40x = 16,628.64 × 7,330.40
  4. Step 4: Simplify right side
    12,046.40x = 121,894,582.66
  5. Step 5: Solve for x
    x = 121,894,582.66/12,046.40
  6. Step 6: Final answer
    x = 10,118.76

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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.