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Finding the Fourth Proportional to 9,664.10, 14,496.15 and 7,720.10

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Solution

The fourth proportional to 9,664.10, 14,496.15 and 7,720.10 is: 11,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.10 : 14,496.15 = 7,720.10 : x
  2. Step 2: Convert to fraction form
    9,664.10/14,496.15 = 7,720.10/x
  3. Step 3: Cross multiply
    9,664.10x = 14,496.15 × 7,720.10
  4. Step 4: Simplify right side
    9,664.10x = 111,911,727.62
  5. Step 5: Solve for x
    x = 111,911,727.62/9,664.10
  6. Step 6: Final answer
    x = 11,580.15

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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.