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Finding the Fourth Proportional to 7,807.42, 11,709.36 and 2,259.52

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Solution

The fourth proportional to 7,807.42, 11,709.36 and 2,259.52 is: 3,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.42 : 11,709.36 = 2,259.52 : x
  2. Step 2: Convert to fraction form
    7,807.42/11,709.36 = 2,259.52/x
  3. Step 3: Cross multiply
    7,807.42x = 11,709.36 × 2,259.52
  4. Step 4: Simplify right side
    7,807.42x = 26,457,533.11
  5. Step 5: Solve for x
    x = 26,457,533.11/7,807.42
  6. Step 6: Final answer
    x = 3,388.77

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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.