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Finding the Fourth Proportional to 7,122.79, 9,827.88 and 4,137.08

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Solution

The fourth proportional to 7,122.79, 9,827.88 and 4,137.08 is: 5,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.79 : 9,827.88 = 4,137.08 : x
  2. Step 2: Convert to fraction form
    7,122.79/9,827.88 = 4,137.08/x
  3. Step 3: Cross multiply
    7,122.79x = 9,827.88 × 4,137.08
  4. Step 4: Simplify right side
    7,122.79x = 40,658,684.41
  5. Step 5: Solve for x
    x = 40,658,684.41/7,122.79
  6. Step 6: Final answer
    x = 5,708.26

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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.