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Finding the Fourth Proportional to 1,875.42, 2,814.14 and 780.57

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Solution

The fourth proportional to 1,875.42, 2,814.14 and 780.57 is: 1,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.42 : 2,814.14 = 780.57 : x
  2. Step 2: Convert to fraction form
    1,875.42/2,814.14 = 780.57/x
  3. Step 3: Cross multiply
    1,875.42x = 2,814.14 × 780.57
  4. Step 4: Simplify right side
    1,875.42x = 2,196,635.21
  5. Step 5: Solve for x
    x = 2,196,635.21/1,875.42
  6. Step 6: Final answer
    x = 1,171.28

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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.