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Finding the Fourth Proportional to 10,073.66, 13,903.30 and 8,392.40

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Solution

The fourth proportional to 10,073.66, 13,903.30 and 8,392.40 is: 11,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.66 : 13,903.30 = 8,392.40 : x
  2. Step 2: Convert to fraction form
    10,073.66/13,903.30 = 8,392.40/x
  3. Step 3: Cross multiply
    10,073.66x = 13,903.30 × 8,392.40
  4. Step 4: Simplify right side
    10,073.66x = 116,682,054.92
  5. Step 5: Solve for x
    x = 116,682,054.92/10,073.66
  6. Step 6: Final answer
    x = 11,582.89

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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.