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Finding the Fourth Proportional to 10,465.49, 15,760.14 and 7,564.07

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Solution

The fourth proportional to 10,465.49, 15,760.14 and 7,564.07 is: 11,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.49 : 15,760.14 = 7,564.07 : x
  2. Step 2: Convert to fraction form
    10,465.49/15,760.14 = 7,564.07/x
  3. Step 3: Cross multiply
    10,465.49x = 15,760.14 × 7,564.07
  4. Step 4: Simplify right side
    10,465.49x = 119,210,855.75
  5. Step 5: Solve for x
    x = 119,210,855.75/10,465.49
  6. Step 6: Final answer
    x = 11,390.85

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