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Finding the Fourth Proportional to 7,143.54, 10,710.99 and 4,828.02

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Solution

The fourth proportional to 7,143.54, 10,710.99 and 4,828.02 is: 7,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.54 : 10,710.99 = 4,828.02 : x
  2. Step 2: Convert to fraction form
    7,143.54/10,710.99 = 4,828.02/x
  3. Step 3: Cross multiply
    7,143.54x = 10,710.99 × 4,828.02
  4. Step 4: Simplify right side
    7,143.54x = 51,712,873.94
  5. Step 5: Solve for x
    x = 51,712,873.94/7,143.54
  6. Step 6: Final answer
    x = 7,239.11

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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.