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Finding the Fourth Proportional to 9,823, 13,509.28 and 7,809.88

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Solution

The fourth proportional to 9,823, 13,509.28 and 7,809.88 is: 10,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 13,509.28 = 7,809.88 : x
  2. Step 2: Convert to fraction form
    9,823/13,509.28 = 7,809.88/x
  3. Step 3: Cross multiply
    9,823x = 13,509.28 × 7,809.88
  4. Step 4: Simplify right side
    9,823x = 105,505,855.69
  5. Step 5: Solve for x
    x = 105,505,855.69/9,823
  6. Step 6: Final answer
    x = 10,740.70

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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.