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Finding the Fourth Proportional to 5,654.84, 7,785.47 and 4,856.58

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Solution

The fourth proportional to 5,654.84, 7,785.47 and 4,856.58 is: 6,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.84 : 7,785.47 = 4,856.58 : x
  2. Step 2: Convert to fraction form
    5,654.84/7,785.47 = 4,856.58/x
  3. Step 3: Cross multiply
    5,654.84x = 7,785.47 × 4,856.58
  4. Step 4: Simplify right side
    5,654.84x = 37,810,770.03
  5. Step 5: Solve for x
    x = 37,810,770.03/5,654.84
  6. Step 6: Final answer
    x = 6,686.45

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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.