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Finding the Fourth Proportional to 9,357.66, 12,913.54 and 5,165.88

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Solution

The fourth proportional to 9,357.66, 12,913.54 and 5,165.88 is: 7,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.66 : 12,913.54 = 5,165.88 : x
  2. Step 2: Convert to fraction form
    9,357.66/12,913.54 = 5,165.88/x
  3. Step 3: Cross multiply
    9,357.66x = 12,913.54 × 5,165.88
  4. Step 4: Simplify right side
    9,357.66x = 66,709,798.02
  5. Step 5: Solve for x
    x = 66,709,798.02/9,357.66
  6. Step 6: Final answer
    x = 7,128.90

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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.