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Finding the Fourth Proportional to 6,963.36, 10,428 and 6,288.68

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Solution

The fourth proportional to 6,963.36, 10,428 and 6,288.68 is: 9,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.36 : 10,428 = 6,288.68 : x
  2. Step 2: Convert to fraction form
    6,963.36/10,428 = 6,288.68/x
  3. Step 3: Cross multiply
    6,963.36x = 10,428 × 6,288.68
  4. Step 4: Simplify right side
    6,963.36x = 65,578,328.97
  5. Step 5: Solve for x
    x = 65,578,328.97/6,963.36
  6. Step 6: Final answer
    x = 9,417.63

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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.