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Finding the Fourth Proportional to 10,206, 14,085.36 and 6,480

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Solution

The fourth proportional to 10,206, 14,085.36 and 6,480 is: 8,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 14,085.36 = 6,480 : x
  2. Step 2: Convert to fraction form
    10,206/14,085.36 = 6,480/x
  3. Step 3: Cross multiply
    10,206x = 14,085.36 × 6,480
  4. Step 4: Simplify right side
    10,206x = 91,273,132.80
  5. Step 5: Solve for x
    x = 91,273,132.80/10,206
  6. Step 6: Final answer
    x = 8,943.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.