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Finding the Fourth Proportional to 7,177, 9,900.58 and 4,660.52

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Solution

The fourth proportional to 7,177, 9,900.58 and 4,660.52 is: 6,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 9,900.58 = 4,660.52 : x
  2. Step 2: Convert to fraction form
    7,177/9,900.58 = 4,660.52/x
  3. Step 3: Cross multiply
    7,177x = 9,900.58 × 4,660.52
  4. Step 4: Simplify right side
    7,177x = 46,141,851.10
  5. Step 5: Solve for x
    x = 46,141,851.10/7,177
  6. Step 6: Final answer
    x = 6,429.13

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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.