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Finding the Fourth Proportional to 7,684.49, 11,526.88 and 2,419.40

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Solution

The fourth proportional to 7,684.49, 11,526.88 and 2,419.40 is: 3,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.49 : 11,526.88 = 2,419.40 : x
  2. Step 2: Convert to fraction form
    7,684.49/11,526.88 = 2,419.40/x
  3. Step 3: Cross multiply
    7,684.49x = 11,526.88 × 2,419.40
  4. Step 4: Simplify right side
    7,684.49x = 27,888,133.47
  5. Step 5: Solve for x
    x = 27,888,133.47/7,684.49
  6. Step 6: Final answer
    x = 3,629.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.