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Finding the Fourth Proportional to 9,885.44, 13,646.88 and 7,642.24

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Solution

The fourth proportional to 9,885.44, 13,646.88 and 7,642.24 is: 10,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.44 : 13,646.88 = 7,642.24 : x
  2. Step 2: Convert to fraction form
    9,885.44/13,646.88 = 7,642.24/x
  3. Step 3: Cross multiply
    9,885.44x = 13,646.88 × 7,642.24
  4. Step 4: Simplify right side
    9,885.44x = 104,292,732.21
  5. Step 5: Solve for x
    x = 104,292,732.21/9,885.44
  6. Step 6: Final answer
    x = 10,550.14

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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.