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Finding the Fourth Proportional to 4,681.68, 6,455.88 and 4,020.72

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Solution

The fourth proportional to 4,681.68, 6,455.88 and 4,020.72 is: 5,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.68 : 6,455.88 = 4,020.72 : x
  2. Step 2: Convert to fraction form
    4,681.68/6,455.88 = 4,020.72/x
  3. Step 3: Cross multiply
    4,681.68x = 6,455.88 × 4,020.72
  4. Step 4: Simplify right side
    4,681.68x = 25,957,285.83
  5. Step 5: Solve for x
    x = 25,957,285.83/4,681.68
  6. Step 6: Final answer
    x = 5,544.44

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Half scale
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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.