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Finding the Fourth Proportional to 7,830.29, 11,729.03 and 4,541.60

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Solution

The fourth proportional to 7,830.29, 11,729.03 and 4,541.60 is: 6,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.29 : 11,729.03 = 4,541.60 : x
  2. Step 2: Convert to fraction form
    7,830.29/11,729.03 = 4,541.60/x
  3. Step 3: Cross multiply
    7,830.29x = 11,729.03 × 4,541.60
  4. Step 4: Simplify right side
    7,830.29x = 53,268,569.26
  5. Step 5: Solve for x
    x = 53,268,569.26/7,830.29
  6. Step 6: Final answer
    x = 6,802.88

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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.