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Finding the Fourth Proportional to 1,762.46, 2,646.47 and 1,400.29

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Solution

The fourth proportional to 1,762.46, 2,646.47 and 1,400.29 is: 2,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.46 : 2,646.47 = 1,400.29 : x
  2. Step 2: Convert to fraction form
    1,762.46/2,646.47 = 1,400.29/x
  3. Step 3: Cross multiply
    1,762.46x = 2,646.47 × 1,400.29
  4. Step 4: Simplify right side
    1,762.46x = 3,705,822.36
  5. Step 5: Solve for x
    x = 3,705,822.36/1,762.46
  6. Step 6: Final answer
    x = 2,102.64

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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.