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Finding the Fourth Proportional to 9,729, 13,428.45 and 5,539.68

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Solution

The fourth proportional to 9,729, 13,428.45 and 5,539.68 is: 7,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 13,428.45 = 5,539.68 : x
  2. Step 2: Convert to fraction form
    9,729/13,428.45 = 5,539.68/x
  3. Step 3: Cross multiply
    9,729x = 13,428.45 × 5,539.68
  4. Step 4: Simplify right side
    9,729x = 74,389,315.90
  5. Step 5: Solve for x
    x = 74,389,315.90/9,729
  6. Step 6: Final answer
    x = 7,646.14

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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.