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Finding the Fourth Proportional to 9,857.64, 13,603.50 and 5,381.39

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Solution

The fourth proportional to 9,857.64, 13,603.50 and 5,381.39 is: 7,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.64 : 13,603.50 = 5,381.39 : x
  2. Step 2: Convert to fraction form
    9,857.64/13,603.50 = 5,381.39/x
  3. Step 3: Cross multiply
    9,857.64x = 13,603.50 × 5,381.39
  4. Step 4: Simplify right side
    9,857.64x = 73,205,738.87
  5. Step 5: Solve for x
    x = 73,205,738.87/9,857.64
  6. Step 6: Final answer
    x = 7,426.29

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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.