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Finding the Fourth Proportional to 7,302, 10,085.40 and 4,940.04

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Solution

The fourth proportional to 7,302, 10,085.40 and 4,940.04 is: 6,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 10,085.40 = 4,940.04 : x
  2. Step 2: Convert to fraction form
    7,302/10,085.40 = 4,940.04/x
  3. Step 3: Cross multiply
    7,302x = 10,085.40 × 4,940.04
  4. Step 4: Simplify right side
    7,302x = 49,822,279.42
  5. Step 5: Solve for x
    x = 49,822,279.42/7,302
  6. Step 6: Final answer
    x = 6,823.10

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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.