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Finding the Fourth Proportional to 9,453.68, 13,046 and 5,205

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Solution

The fourth proportional to 9,453.68, 13,046 and 5,205 is: 7,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.68 : 13,046 = 5,205 : x
  2. Step 2: Convert to fraction form
    9,453.68/13,046 = 5,205/x
  3. Step 3: Cross multiply
    9,453.68x = 13,046 × 5,205
  4. Step 4: Simplify right side
    9,453.68x = 67,904,430
  5. Step 5: Solve for x
    x = 67,904,430/9,453.68
  6. Step 6: Final answer
    x = 7,182.86

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Why These Related Problems?

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