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Finding the Fourth Proportional to 1,875.28, 2,810.88 and 778.48

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Solution

The fourth proportional to 1,875.28, 2,810.88 and 778.48 is: 1,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.28 : 2,810.88 = 778.48 : x
  2. Step 2: Convert to fraction form
    1,875.28/2,810.88 = 778.48/x
  3. Step 3: Cross multiply
    1,875.28x = 2,810.88 × 778.48
  4. Step 4: Simplify right side
    1,875.28x = 2,188,213.86
  5. Step 5: Solve for x
    x = 2,188,213.86/1,875.28
  6. Step 6: Final answer
    x = 1,166.87

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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.