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Finding the Fourth Proportional to 7,807.72, 11,709.83 and 2,259.83

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Solution

The fourth proportional to 7,807.72, 11,709.83 and 2,259.83 is: 3,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.72 : 11,709.83 = 2,259.83 : x
  2. Step 2: Convert to fraction form
    7,807.72/11,709.83 = 2,259.83/x
  3. Step 3: Cross multiply
    7,807.72x = 11,709.83 × 2,259.83
  4. Step 4: Simplify right side
    7,807.72x = 26,462,225.13
  5. Step 5: Solve for x
    x = 26,462,225.13/7,807.72
  6. Step 6: Final answer
    x = 3,389.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.