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Finding the Fourth Proportional to 7,084.79, 9,784.08 and 5,838.20

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Solution

The fourth proportional to 7,084.79, 9,784.08 and 5,838.20 is: 8,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.79 : 9,784.08 = 5,838.20 : x
  2. Step 2: Convert to fraction form
    7,084.79/9,784.08 = 5,838.20/x
  3. Step 3: Cross multiply
    7,084.79x = 9,784.08 × 5,838.20
  4. Step 4: Simplify right side
    7,084.79x = 57,121,366.94
  5. Step 5: Solve for x
    x = 57,121,366.94/7,084.79
  6. Step 6: Final answer
    x = 8,062.54

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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.