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Finding the Fourth Proportional to 9,720.65, 14,577.39 and 7,644.71

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Solution

The fourth proportional to 9,720.65, 14,577.39 and 7,644.71 is: 11,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.65 : 14,577.39 = 7,644.71 : x
  2. Step 2: Convert to fraction form
    9,720.65/14,577.39 = 7,644.71/x
  3. Step 3: Cross multiply
    9,720.65x = 14,577.39 × 7,644.71
  4. Step 4: Simplify right side
    9,720.65x = 111,439,846.22
  5. Step 5: Solve for x
    x = 111,439,846.22/9,720.65
  6. Step 6: Final answer
    x = 11,464.24

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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.