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Finding the Fourth Proportional to 7,720.56, 11,554.92 and 6,411.60

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Solution

The fourth proportional to 7,720.56, 11,554.92 and 6,411.60 is: 9,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.56 : 11,554.92 = 6,411.60 : x
  2. Step 2: Convert to fraction form
    7,720.56/11,554.92 = 6,411.60/x
  3. Step 3: Cross multiply
    7,720.56x = 11,554.92 × 6,411.60
  4. Step 4: Simplify right side
    7,720.56x = 74,085,525.07
  5. Step 5: Solve for x
    x = 74,085,525.07/7,720.56
  6. Step 6: Final answer
    x = 9,595.87

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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.