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Finding the Fourth Proportional to 9,892.68, 13,651.77 and 5,643.63

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Solution

The fourth proportional to 9,892.68, 13,651.77 and 5,643.63 is: 7,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.68 : 13,651.77 = 5,643.63 : x
  2. Step 2: Convert to fraction form
    9,892.68/13,651.77 = 5,643.63/x
  3. Step 3: Cross multiply
    9,892.68x = 13,651.77 × 5,643.63
  4. Step 4: Simplify right side
    9,892.68x = 77,045,538.73
  5. Step 5: Solve for x
    x = 77,045,538.73/9,892.68
  6. Step 6: Final answer
    x = 7,788.14

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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.