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Finding the Fourth Proportional to 9,642.66, 14,463.77 and 4,448.54

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Solution

The fourth proportional to 9,642.66, 14,463.77 and 4,448.54 is: 6,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.66 : 14,463.77 = 4,448.54 : x
  2. Step 2: Convert to fraction form
    9,642.66/14,463.77 = 4,448.54/x
  3. Step 3: Cross multiply
    9,642.66x = 14,463.77 × 4,448.54
  4. Step 4: Simplify right side
    9,642.66x = 64,342,564.83
  5. Step 5: Solve for x
    x = 64,342,564.83/9,642.66
  6. Step 6: Final answer
    x = 6,672.70

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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.