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Finding the Fourth Proportional to 1,357.35, 1,875.11 and 917.18

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Solution

The fourth proportional to 1,357.35, 1,875.11 and 917.18 is: 1,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.35 : 1,875.11 = 917.18 : x
  2. Step 2: Convert to fraction form
    1,357.35/1,875.11 = 917.18/x
  3. Step 3: Cross multiply
    1,357.35x = 1,875.11 × 917.18
  4. Step 4: Simplify right side
    1,357.35x = 1,719,813.39
  5. Step 5: Solve for x
    x = 1,719,813.39/1,357.35
  6. Step 6: Final answer
    x = 1,267.04

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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.