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Finding the Fourth Proportional to 1,875.72, 2,814.17 and 643.14

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Solution

The fourth proportional to 1,875.72, 2,814.17 and 643.14 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.72 : 2,814.17 = 643.14 : x
  2. Step 2: Convert to fraction form
    1,875.72/2,814.17 = 643.14/x
  3. Step 3: Cross multiply
    1,875.72x = 2,814.17 × 643.14
  4. Step 4: Simplify right side
    1,875.72x = 1,809,905.29
  5. Step 5: Solve for x
    x = 1,809,905.29/1,875.72
  6. Step 6: Final answer
    x = 964.91

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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.