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Finding the Fourth Proportional to 9,809.64, 13,532.81 and 5,828.49

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Solution

The fourth proportional to 9,809.64, 13,532.81 and 5,828.49 is: 8,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.64 : 13,532.81 = 5,828.49 : x
  2. Step 2: Convert to fraction form
    9,809.64/13,532.81 = 5,828.49/x
  3. Step 3: Cross multiply
    9,809.64x = 13,532.81 × 5,828.49
  4. Step 4: Simplify right side
    9,809.64x = 78,875,818.61
  5. Step 5: Solve for x
    x = 78,875,818.61/9,809.64
  6. Step 6: Final answer
    x = 8,040.64

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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.