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Finding the Fourth Proportional to 11,565.39, 17,355 and 4,991.58

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Solution

The fourth proportional to 11,565.39, 17,355 and 4,991.58 is: 7,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.39 : 17,355 = 4,991.58 : x
  2. Step 2: Convert to fraction form
    11,565.39/17,355 = 4,991.58/x
  3. Step 3: Cross multiply
    11,565.39x = 17,355 × 4,991.58
  4. Step 4: Simplify right side
    11,565.39x = 86,628,870.90
  5. Step 5: Solve for x
    x = 86,628,870.90/11,565.39
  6. Step 6: Final answer
    x = 7,490.35

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Why These Related Problems?

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