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Finding the Fourth Proportional to 9,678.49, 13,358.32 and 5,700.58

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Solution

The fourth proportional to 9,678.49, 13,358.32 and 5,700.58 is: 7,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.49 : 13,358.32 = 5,700.58 : x
  2. Step 2: Convert to fraction form
    9,678.49/13,358.32 = 5,700.58/x
  3. Step 3: Cross multiply
    9,678.49x = 13,358.32 × 5,700.58
  4. Step 4: Simplify right side
    9,678.49x = 76,150,124.18
  5. Step 5: Solve for x
    x = 76,150,124.18/9,678.49
  6. Step 6: Final answer
    x = 7,867.98

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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.