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Finding the Fourth Proportional to 7,015.67, 9,681.56 and 3,828.93

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Solution

The fourth proportional to 7,015.67, 9,681.56 and 3,828.93 is: 5,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.67 : 9,681.56 = 3,828.93 : x
  2. Step 2: Convert to fraction form
    7,015.67/9,681.56 = 3,828.93/x
  3. Step 3: Cross multiply
    7,015.67x = 9,681.56 × 3,828.93
  4. Step 4: Simplify right side
    7,015.67x = 37,069,996.39
  5. Step 5: Solve for x
    x = 37,069,996.39/7,015.67
  6. Step 6: Final answer
    x = 5,283.89

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1.5x scale

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.