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Finding the Fourth Proportional to 2,525.81, 3,485.81 and 1,407.03

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Solution

The fourth proportional to 2,525.81, 3,485.81 and 1,407.03 is: 1,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.81 : 3,485.81 = 1,407.03 : x
  2. Step 2: Convert to fraction form
    2,525.81/3,485.81 = 1,407.03/x
  3. Step 3: Cross multiply
    2,525.81x = 3,485.81 × 1,407.03
  4. Step 4: Simplify right side
    2,525.81x = 4,904,632.21
  5. Step 5: Solve for x
    x = 4,904,632.21/2,525.81
  6. Step 6: Final answer
    x = 1,941.81

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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.