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Finding the Fourth Proportional to 7,904.61, 11,858.61 and 2,358.41

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Solution

The fourth proportional to 7,904.61, 11,858.61 and 2,358.41 is: 3,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.61 : 11,858.61 = 2,358.41 : x
  2. Step 2: Convert to fraction form
    7,904.61/11,858.61 = 2,358.41/x
  3. Step 3: Cross multiply
    7,904.61x = 11,858.61 × 2,358.41
  4. Step 4: Simplify right side
    7,904.61x = 27,967,405.12
  5. Step 5: Solve for x
    x = 27,967,405.12/7,904.61
  6. Step 6: Final answer
    x = 3,538.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.