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Finding the Fourth Proportional to 7,807.50, 11,707.92 and 4,522.86

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Solution

The fourth proportional to 7,807.50, 11,707.92 and 4,522.86 is: 6,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.50 : 11,707.92 = 4,522.86 : x
  2. Step 2: Convert to fraction form
    7,807.50/11,707.92 = 4,522.86/x
  3. Step 3: Cross multiply
    7,807.50x = 11,707.92 × 4,522.86
  4. Step 4: Simplify right side
    7,807.50x = 52,953,283.05
  5. Step 5: Solve for x
    x = 52,953,283.05/7,807.50
  6. Step 6: Final answer
    x = 6,782.36

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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.