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Finding the Fourth Proportional to 2,570.70, 3,860.10 and 1,477.20

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Solution

The fourth proportional to 2,570.70, 3,860.10 and 1,477.20 is: 2,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.70 : 3,860.10 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    2,570.70/3,860.10 = 1,477.20/x
  3. Step 3: Cross multiply
    2,570.70x = 3,860.10 × 1,477.20
  4. Step 4: Simplify right side
    2,570.70x = 5,702,139.72
  5. Step 5: Solve for x
    x = 5,702,139.72/2,570.70
  6. Step 6: Final answer
    x = 2,218.13

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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.