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Finding the Fourth Proportional to 11,834.40, 16,330.80 and 7,358.40

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Solution

The fourth proportional to 11,834.40, 16,330.80 and 7,358.40 is: 10,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.40 : 16,330.80 = 7,358.40 : x
  2. Step 2: Convert to fraction form
    11,834.40/16,330.80 = 7,358.40/x
  3. Step 3: Cross multiply
    11,834.40x = 16,330.80 × 7,358.40
  4. Step 4: Simplify right side
    11,834.40x = 120,168,558.72
  5. Step 5: Solve for x
    x = 120,168,558.72/11,834.40
  6. Step 6: Final answer
    x = 10,154.17

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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.