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Finding the Fourth Proportional to 5,696.18, 7,853.73 and 4,123.70

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Solution

The fourth proportional to 5,696.18, 7,853.73 and 4,123.70 is: 5,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.18 : 7,853.73 = 4,123.70 : x
  2. Step 2: Convert to fraction form
    5,696.18/7,853.73 = 4,123.70/x
  3. Step 3: Cross multiply
    5,696.18x = 7,853.73 × 4,123.70
  4. Step 4: Simplify right side
    5,696.18x = 32,386,426.40
  5. Step 5: Solve for x
    x = 32,386,426.40/5,696.18
  6. Step 6: Final answer
    x = 5,685.64

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