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Finding the Fourth Proportional to 9,305.05, 12,840.82 and 5,113.21

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Solution

The fourth proportional to 9,305.05, 12,840.82 and 5,113.21 is: 7,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.05 : 12,840.82 = 5,113.21 : x
  2. Step 2: Convert to fraction form
    9,305.05/12,840.82 = 5,113.21/x
  3. Step 3: Cross multiply
    9,305.05x = 12,840.82 × 5,113.21
  4. Step 4: Simplify right side
    9,305.05x = 65,657,809.23
  5. Step 5: Solve for x
    x = 65,657,809.23/9,305.05
  6. Step 6: Final answer
    x = 7,056.15

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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.