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Finding the Fourth Proportional to 2,900.71, 4,002.86 and 1,574.37

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Solution

The fourth proportional to 2,900.71, 4,002.86 and 1,574.37 is: 2,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.71 : 4,002.86 = 1,574.37 : x
  2. Step 2: Convert to fraction form
    2,900.71/4,002.86 = 1,574.37/x
  3. Step 3: Cross multiply
    2,900.71x = 4,002.86 × 1,574.37
  4. Step 4: Simplify right side
    2,900.71x = 6,301,962.68
  5. Step 5: Solve for x
    x = 6,301,962.68/2,900.71
  6. Step 6: Final answer
    x = 2,172.56

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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.