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Finding the Fourth Proportional to 5,678.62, 8,510.16 and 4,290.82

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Solution

The fourth proportional to 5,678.62, 8,510.16 and 4,290.82 is: 6,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.62 : 8,510.16 = 4,290.82 : x
  2. Step 2: Convert to fraction form
    5,678.62/8,510.16 = 4,290.82/x
  3. Step 3: Cross multiply
    5,678.62x = 8,510.16 × 4,290.82
  4. Step 4: Simplify right side
    5,678.62x = 36,515,564.73
  5. Step 5: Solve for x
    x = 36,515,564.73/5,678.62
  6. Step 6: Final answer
    x = 6,430.36

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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.