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Finding the Fourth Proportional to 9,686.69, 13,368.99 and 5,654.85

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Solution

The fourth proportional to 9,686.69, 13,368.99 and 5,654.85 is: 7,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.69 : 13,368.99 = 5,654.85 : x
  2. Step 2: Convert to fraction form
    9,686.69/13,368.99 = 5,654.85/x
  3. Step 3: Cross multiply
    9,686.69x = 13,368.99 × 5,654.85
  4. Step 4: Simplify right side
    9,686.69x = 75,599,633.10
  5. Step 5: Solve for x
    x = 75,599,633.10/9,686.69
  6. Step 6: Final answer
    x = 7,804.49

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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.