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Finding the Fourth Proportional to 10,600.84, 15,900.78 and 7,113.16

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Solution

The fourth proportional to 10,600.84, 15,900.78 and 7,113.16 is: 10,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.84 : 15,900.78 = 7,113.16 : x
  2. Step 2: Convert to fraction form
    10,600.84/15,900.78 = 7,113.16/x
  3. Step 3: Cross multiply
    10,600.84x = 15,900.78 × 7,113.16
  4. Step 4: Simplify right side
    10,600.84x = 113,104,792.26
  5. Step 5: Solve for x
    x = 113,104,792.26/10,600.84
  6. Step 6: Final answer
    x = 10,669.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.