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Finding the Fourth Proportional to 6,825.70, 9,416.55 and 4,938.40

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Solution

The fourth proportional to 6,825.70, 9,416.55 and 4,938.40 is: 6,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.70 : 9,416.55 = 4,938.40 : x
  2. Step 2: Convert to fraction form
    6,825.70/9,416.55 = 4,938.40/x
  3. Step 3: Cross multiply
    6,825.70x = 9,416.55 × 4,938.40
  4. Step 4: Simplify right side
    6,825.70x = 46,502,690.52
  5. Step 5: Solve for x
    x = 46,502,690.52/6,825.70
  6. Step 6: Final answer
    x = 6,812.88

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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.