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Finding the Fourth Proportional to 9,812.13, 13,545 and 6,279.99

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Solution

The fourth proportional to 9,812.13, 13,545 and 6,279.99 is: 8,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.13 : 13,545 = 6,279.99 : x
  2. Step 2: Convert to fraction form
    9,812.13/13,545 = 6,279.99/x
  3. Step 3: Cross multiply
    9,812.13x = 13,545 × 6,279.99
  4. Step 4: Simplify right side
    9,812.13x = 85,062,464.55
  5. Step 5: Solve for x
    x = 85,062,464.55/9,812.13
  6. Step 6: Final answer
    x = 8,669.11

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1.5x scale

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.