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Finding the Fourth Proportional to 7,411.72, 10,204.86 and 6,290.32

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Solution

The fourth proportional to 7,411.72, 10,204.86 and 6,290.32 is: 8,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.72 : 10,204.86 = 6,290.32 : x
  2. Step 2: Convert to fraction form
    7,411.72/10,204.86 = 6,290.32/x
  3. Step 3: Cross multiply
    7,411.72x = 10,204.86 × 6,290.32
  4. Step 4: Simplify right side
    7,411.72x = 64,191,834.96
  5. Step 5: Solve for x
    x = 64,191,834.96/7,411.72
  6. Step 6: Final answer
    x = 8,660.86

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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.