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Finding the Fourth Proportional to 9,884.99, 13,646.27 and 7,641.80

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Solution

The fourth proportional to 9,884.99, 13,646.27 and 7,641.80 is: 10,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.99 : 13,646.27 = 7,641.80 : x
  2. Step 2: Convert to fraction form
    9,884.99/13,646.27 = 7,641.80/x
  3. Step 3: Cross multiply
    9,884.99x = 13,646.27 × 7,641.80
  4. Step 4: Simplify right side
    9,884.99x = 104,282,066.09
  5. Step 5: Solve for x
    x = 104,282,066.09/9,884.99
  6. Step 6: Final answer
    x = 10,549.54

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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.