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Finding the Fourth Proportional to 9,410, 12,985.86 and 5,218.26

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Solution

The fourth proportional to 9,410, 12,985.86 and 5,218.26 is: 7,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 12,985.86 = 5,218.26 : x
  2. Step 2: Convert to fraction form
    9,410/12,985.86 = 5,218.26/x
  3. Step 3: Cross multiply
    9,410x = 12,985.86 × 5,218.26
  4. Step 4: Simplify right side
    9,410x = 67,763,593.80
  5. Step 5: Solve for x
    x = 67,763,593.80/9,410
  6. Step 6: Final answer
    x = 7,201.23

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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.