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Finding the Fourth Proportional to 2,470.77, 3,720.80 and 2,150.01

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Solution

The fourth proportional to 2,470.77, 3,720.80 and 2,150.01 is: 3,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.77 : 3,720.80 = 2,150.01 : x
  2. Step 2: Convert to fraction form
    2,470.77/3,720.80 = 2,150.01/x
  3. Step 3: Cross multiply
    2,470.77x = 3,720.80 × 2,150.01
  4. Step 4: Simplify right side
    2,470.77x = 7,999,762.58
  5. Step 5: Solve for x
    x = 7,999,762.58/2,470.77
  6. Step 6: Final answer
    x = 3,237.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.