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Finding the Fourth Proportional to 6,740.40, 9,301.56 and 4,254

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Solution

The fourth proportional to 6,740.40, 9,301.56 and 4,254 is: 5,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.40 : 9,301.56 = 4,254 : x
  2. Step 2: Convert to fraction form
    6,740.40/9,301.56 = 4,254/x
  3. Step 3: Cross multiply
    6,740.40x = 9,301.56 × 4,254
  4. Step 4: Simplify right side
    6,740.40x = 39,568,836.24
  5. Step 5: Solve for x
    x = 39,568,836.24/6,740.40
  6. Step 6: Final answer
    x = 5,870.40

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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.