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Finding the Fourth Proportional to 9,917.70, 13,686.35 and 5,441.42

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Solution

The fourth proportional to 9,917.70, 13,686.35 and 5,441.42 is: 7,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.70 : 13,686.35 = 5,441.42 : x
  2. Step 2: Convert to fraction form
    9,917.70/13,686.35 = 5,441.42/x
  3. Step 3: Cross multiply
    9,917.70x = 13,686.35 × 5,441.42
  4. Step 4: Simplify right side
    9,917.70x = 74,473,108.52
  5. Step 5: Solve for x
    x = 74,473,108.52/9,917.70
  6. Step 6: Final answer
    x = 7,509.11

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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.