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Finding the Fourth Proportional to 9,643.72, 13,303.02 and 6,661.12

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Solution

The fourth proportional to 9,643.72, 13,303.02 and 6,661.12 is: 9,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.72 : 13,303.02 = 6,661.12 : x
  2. Step 2: Convert to fraction form
    9,643.72/13,303.02 = 6,661.12/x
  3. Step 3: Cross multiply
    9,643.72x = 13,303.02 × 6,661.12
  4. Step 4: Simplify right side
    9,643.72x = 88,613,012.58
  5. Step 5: Solve for x
    x = 88,613,012.58/9,643.72
  6. Step 6: Final answer
    x = 9,188.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.