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Finding the Fourth Proportional to 4,615.65, 6,922.35 and 2,148.12

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Solution

The fourth proportional to 4,615.65, 6,922.35 and 2,148.12 is: 3,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.65 : 6,922.35 = 2,148.12 : x
  2. Step 2: Convert to fraction form
    4,615.65/6,922.35 = 2,148.12/x
  3. Step 3: Cross multiply
    4,615.65x = 6,922.35 × 2,148.12
  4. Step 4: Simplify right side
    4,615.65x = 14,870,038.48
  5. Step 5: Solve for x
    x = 14,870,038.48/4,615.65
  6. Step 6: Final answer
    x = 3,221.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.