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Finding the Fourth Proportional to 1,875.02, 2,813.93 and 706.17

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Solution

The fourth proportional to 1,875.02, 2,813.93 and 706.17 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.02 : 2,813.93 = 706.17 : x
  2. Step 2: Convert to fraction form
    1,875.02/2,813.93 = 706.17/x
  3. Step 3: Cross multiply
    1,875.02x = 2,813.93 × 706.17
  4. Step 4: Simplify right side
    1,875.02x = 1,987,112.95
  5. Step 5: Solve for x
    x = 1,987,112.95/1,875.02
  6. Step 6: Final answer
    x = 1,059.78

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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.