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Finding the Fourth Proportional to 3,866.08, 5,798.40 and 2,477.20

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Solution

The fourth proportional to 3,866.08, 5,798.40 and 2,477.20 is: 3,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.08 : 5,798.40 = 2,477.20 : x
  2. Step 2: Convert to fraction form
    3,866.08/5,798.40 = 2,477.20/x
  3. Step 3: Cross multiply
    3,866.08x = 5,798.40 × 2,477.20
  4. Step 4: Simplify right side
    3,866.08x = 14,363,796.48
  5. Step 5: Solve for x
    x = 14,363,796.48/3,866.08
  6. Step 6: Final answer
    x = 3,715.34

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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.