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Finding the Fourth Proportional to 5,291.90, 7,286.10 and 4,660.10

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Solution

The fourth proportional to 5,291.90, 7,286.10 and 4,660.10 is: 6,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.90 : 7,286.10 = 4,660.10 : x
  2. Step 2: Convert to fraction form
    5,291.90/7,286.10 = 4,660.10/x
  3. Step 3: Cross multiply
    5,291.90x = 7,286.10 × 4,660.10
  4. Step 4: Simplify right side
    5,291.90x = 33,953,954.24
  5. Step 5: Solve for x
    x = 33,953,954.24/5,291.90
  6. Step 6: Final answer
    x = 6,416.21

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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.