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Finding the Fourth Proportional to 11,406.52, 15,746.70 and 7,699.96

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Solution

The fourth proportional to 11,406.52, 15,746.70 and 7,699.96 is: 10,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.52 : 15,746.70 = 7,699.96 : x
  2. Step 2: Convert to fraction form
    11,406.52/15,746.70 = 7,699.96/x
  3. Step 3: Cross multiply
    11,406.52x = 15,746.70 × 7,699.96
  4. Step 4: Simplify right side
    11,406.52x = 121,248,960.13
  5. Step 5: Solve for x
    x = 121,248,960.13/11,406.52
  6. Step 6: Final answer
    x = 10,629.79

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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.