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Finding the Fourth Proportional to 1,406.46, 1,940.13 and 875.16

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Solution

The fourth proportional to 1,406.46, 1,940.13 and 875.16 is: 1,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.46 : 1,940.13 = 875.16 : x
  2. Step 2: Convert to fraction form
    1,406.46/1,940.13 = 875.16/x
  3. Step 3: Cross multiply
    1,406.46x = 1,940.13 × 875.16
  4. Step 4: Simplify right side
    1,406.46x = 1,697,924.17
  5. Step 5: Solve for x
    x = 1,697,924.17/1,406.46
  6. Step 6: Final answer
    x = 1,207.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.