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Finding the Fourth Proportional to 9,988.97, 13,785.14 and 5,740.14

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Solution

The fourth proportional to 9,988.97, 13,785.14 and 5,740.14 is: 7,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.97 : 13,785.14 = 5,740.14 : x
  2. Step 2: Convert to fraction form
    9,988.97/13,785.14 = 5,740.14/x
  3. Step 3: Cross multiply
    9,988.97x = 13,785.14 × 5,740.14
  4. Step 4: Simplify right side
    9,988.97x = 79,128,628.51
  5. Step 5: Solve for x
    x = 79,128,628.51/9,988.97
  6. Step 6: Final answer
    x = 7,921.60

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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.