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Finding the Fourth Proportional to 9,786.79, 13,509.27 and 5,807.90

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Solution

The fourth proportional to 9,786.79, 13,509.27 and 5,807.90 is: 8,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.79 : 13,509.27 = 5,807.90 : x
  2. Step 2: Convert to fraction form
    9,786.79/13,509.27 = 5,807.90/x
  3. Step 3: Cross multiply
    9,786.79x = 13,509.27 × 5,807.90
  4. Step 4: Simplify right side
    9,786.79x = 78,460,392.65
  5. Step 5: Solve for x
    x = 78,460,392.65/9,786.79
  6. Step 6: Final answer
    x = 8,016.97

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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.