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Finding the Fourth Proportional to 10,551.97, 15,838.13 and 7,770.84

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Solution

The fourth proportional to 10,551.97, 15,838.13 and 7,770.84 is: 11,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.97 : 15,838.13 = 7,770.84 : x
  2. Step 2: Convert to fraction form
    10,551.97/15,838.13 = 7,770.84/x
  3. Step 3: Cross multiply
    10,551.97x = 15,838.13 × 7,770.84
  4. Step 4: Simplify right side
    10,551.97x = 123,075,534.16
  5. Step 5: Solve for x
    x = 123,075,534.16/10,551.97
  6. Step 6: Final answer
    x = 11,663.75

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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.