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Finding the Fourth Proportional to 5,786.40, 7,980.21 and 4,666.98

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Solution

The fourth proportional to 5,786.40, 7,980.21 and 4,666.98 is: 6,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.40 : 7,980.21 = 4,666.98 : x
  2. Step 2: Convert to fraction form
    5,786.40/7,980.21 = 4,666.98/x
  3. Step 3: Cross multiply
    5,786.40x = 7,980.21 × 4,666.98
  4. Step 4: Simplify right side
    5,786.40x = 37,243,480.47
  5. Step 5: Solve for x
    x = 37,243,480.47/5,786.40
  6. Step 6: Final answer
    x = 6,436.38

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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.