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Finding the Fourth Proportional to 10,140.93, 13,993.10 and 5,664.11

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Solution

The fourth proportional to 10,140.93, 13,993.10 and 5,664.11 is: 7,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.93 : 13,993.10 = 5,664.11 : x
  2. Step 2: Convert to fraction form
    10,140.93/13,993.10 = 5,664.11/x
  3. Step 3: Cross multiply
    10,140.93x = 13,993.10 × 5,664.11
  4. Step 4: Simplify right side
    10,140.93x = 79,258,457.64
  5. Step 5: Solve for x
    x = 79,258,457.64/10,140.93
  6. Step 6: Final answer
    x = 7,815.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.