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Finding the Fourth Proportional to 7,638.57, 10,541.13 and 4,282.22

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Solution

The fourth proportional to 7,638.57, 10,541.13 and 4,282.22 is: 5,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.57 : 10,541.13 = 4,282.22 : x
  2. Step 2: Convert to fraction form
    7,638.57/10,541.13 = 4,282.22/x
  3. Step 3: Cross multiply
    7,638.57x = 10,541.13 × 4,282.22
  4. Step 4: Simplify right side
    7,638.57x = 45,139,385.00
  5. Step 5: Solve for x
    x = 45,139,385.00/7,638.57
  6. Step 6: Final answer
    x = 5,909.40

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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.