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Finding the Fourth Proportional to 9,803.70, 13,523.85 and 6,212.16

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Solution

The fourth proportional to 9,803.70, 13,523.85 and 6,212.16 is: 8,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 13,523.85 = 6,212.16 : x
  2. Step 2: Convert to fraction form
    9,803.70/13,523.85 = 6,212.16/x
  3. Step 3: Cross multiply
    9,803.70x = 13,523.85 × 6,212.16
  4. Step 4: Simplify right side
    9,803.70x = 84,012,320.02
  5. Step 5: Solve for x
    x = 84,012,320.02/9,803.70
  6. Step 6: Final answer
    x = 8,569.45

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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.