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Finding the Fourth Proportional to 10,465.93, 15,760.80 and 7,564.51

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Solution

The fourth proportional to 10,465.93, 15,760.80 and 7,564.51 is: 11,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.93 : 15,760.80 = 7,564.51 : x
  2. Step 2: Convert to fraction form
    10,465.93/15,760.80 = 7,564.51/x
  3. Step 3: Cross multiply
    10,465.93x = 15,760.80 × 7,564.51
  4. Step 4: Simplify right side
    10,465.93x = 119,222,729.21
  5. Step 5: Solve for x
    x = 119,222,729.21/10,465.93
  6. Step 6: Final answer
    x = 11,391.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.