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Finding the Fourth Proportional to 11,394.15, 15,706.01 and 7,802.89

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Solution

The fourth proportional to 11,394.15, 15,706.01 and 7,802.89 is: 10,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.15 : 15,706.01 = 7,802.89 : x
  2. Step 2: Convert to fraction form
    11,394.15/15,706.01 = 7,802.89/x
  3. Step 3: Cross multiply
    11,394.15x = 15,706.01 × 7,802.89
  4. Step 4: Simplify right side
    11,394.15x = 122,552,268.37
  5. Step 5: Solve for x
    x = 122,552,268.37/11,394.15
  6. Step 6: Final answer
    x = 10,755.72

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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.