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Finding the Fourth Proportional to 7,238.64, 9,982.16 and 4,406.40

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Solution

The fourth proportional to 7,238.64, 9,982.16 and 4,406.40 is: 6,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.64 : 9,982.16 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    7,238.64/9,982.16 = 4,406.40/x
  3. Step 3: Cross multiply
    7,238.64x = 9,982.16 × 4,406.40
  4. Step 4: Simplify right side
    7,238.64x = 43,985,389.82
  5. Step 5: Solve for x
    x = 43,985,389.82/7,238.64
  6. Step 6: Final answer
    x = 6,076.47

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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.