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Finding the Fourth Proportional to 5,678.76, 7,836.40 and 3,160.74

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Solution

The fourth proportional to 5,678.76, 7,836.40 and 3,160.74 is: 4,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.76 : 7,836.40 = 3,160.74 : x
  2. Step 2: Convert to fraction form
    5,678.76/7,836.40 = 3,160.74/x
  3. Step 3: Cross multiply
    5,678.76x = 7,836.40 × 3,160.74
  4. Step 4: Simplify right side
    5,678.76x = 24,768,822.94
  5. Step 5: Solve for x
    x = 24,768,822.94/5,678.76
  6. Step 6: Final answer
    x = 4,361.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.