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Finding the Fourth Proportional to 11,368.84, 15,696 and 7,339.21

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Solution

The fourth proportional to 11,368.84, 15,696 and 7,339.21 is: 10,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.84 : 15,696 = 7,339.21 : x
  2. Step 2: Convert to fraction form
    11,368.84/15,696 = 7,339.21/x
  3. Step 3: Cross multiply
    11,368.84x = 15,696 × 7,339.21
  4. Step 4: Simplify right side
    11,368.84x = 115,196,240.16
  5. Step 5: Solve for x
    x = 115,196,240.16/11,368.84
  6. Step 6: Final answer
    x = 10,132.63

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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.