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Finding the Fourth Proportional to 5,702.84, 7,872.35 and 3,465.47

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Solution

The fourth proportional to 5,702.84, 7,872.35 and 3,465.47 is: 4,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.84 : 7,872.35 = 3,465.47 : x
  2. Step 2: Convert to fraction form
    5,702.84/7,872.35 = 3,465.47/x
  3. Step 3: Cross multiply
    5,702.84x = 7,872.35 × 3,465.47
  4. Step 4: Simplify right side
    5,702.84x = 27,281,392.75
  5. Step 5: Solve for x
    x = 27,281,392.75/5,702.84
  6. Step 6: Final answer
    x = 4,783.83

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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.