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Finding the Fourth Proportional to 12,465.96, 17,209.26 and 7,751.76

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Solution

The fourth proportional to 12,465.96, 17,209.26 and 7,751.76 is: 10,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.96 : 17,209.26 = 7,751.76 : x
  2. Step 2: Convert to fraction form
    12,465.96/17,209.26 = 7,751.76/x
  3. Step 3: Cross multiply
    12,465.96x = 17,209.26 × 7,751.76
  4. Step 4: Simplify right side
    12,465.96x = 133,402,053.30
  5. Step 5: Solve for x
    x = 133,402,053.30/12,465.96
  6. Step 6: Final answer
    x = 10,701.31

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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.