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Finding the Fourth Proportional to 7,146.63, 10,720.08 and 1,952.51

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Solution

The fourth proportional to 7,146.63, 10,720.08 and 1,952.51 is: 2,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.63 : 10,720.08 = 1,952.51 : x
  2. Step 2: Convert to fraction form
    7,146.63/10,720.08 = 1,952.51/x
  3. Step 3: Cross multiply
    7,146.63x = 10,720.08 × 1,952.51
  4. Step 4: Simplify right side
    7,146.63x = 20,931,009.80
  5. Step 5: Solve for x
    x = 20,931,009.80/7,146.63
  6. Step 6: Final answer
    x = 2,928.79

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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.