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Finding the Fourth Proportional to 2,835.76, 4,253.86 and 783.76

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Solution

The fourth proportional to 2,835.76, 4,253.86 and 783.76 is: 1,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.76 : 4,253.86 = 783.76 : x
  2. Step 2: Convert to fraction form
    2,835.76/4,253.86 = 783.76/x
  3. Step 3: Cross multiply
    2,835.76x = 4,253.86 × 783.76
  4. Step 4: Simplify right side
    2,835.76x = 3,334,005.31
  5. Step 5: Solve for x
    x = 3,334,005.31/2,835.76
  6. Step 6: Final answer
    x = 1,175.70

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1.5x scale

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.