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Finding the Fourth Proportional to 6,580.40, 9,076.50 and 4,225.40

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Solution

The fourth proportional to 6,580.40, 9,076.50 and 4,225.40 is: 5,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.40 : 9,076.50 = 4,225.40 : x
  2. Step 2: Convert to fraction form
    6,580.40/9,076.50 = 4,225.40/x
  3. Step 3: Cross multiply
    6,580.40x = 9,076.50 × 4,225.40
  4. Step 4: Simplify right side
    6,580.40x = 38,351,843.10
  5. Step 5: Solve for x
    x = 38,351,843.10/6,580.40
  6. Step 6: Final answer
    x = 5,828.19

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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.