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Finding the Fourth Proportional to 12,656.86, 17,462.19 and 7,349.74

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Solution

The fourth proportional to 12,656.86, 17,462.19 and 7,349.74 is: 10,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.86 : 17,462.19 = 7,349.74 : x
  2. Step 2: Convert to fraction form
    12,656.86/17,462.19 = 7,349.74/x
  3. Step 3: Cross multiply
    12,656.86x = 17,462.19 × 7,349.74
  4. Step 4: Simplify right side
    12,656.86x = 128,342,556.33
  5. Step 5: Solve for x
    x = 128,342,556.33/12,656.86
  6. Step 6: Final answer
    x = 10,140.16

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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.