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Finding the Fourth Proportional to 1,969.06, 2,952.12 and 928.47

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Solution

The fourth proportional to 1,969.06, 2,952.12 and 928.47 is: 1,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.06 : 2,952.12 = 928.47 : x
  2. Step 2: Convert to fraction form
    1,969.06/2,952.12 = 928.47/x
  3. Step 3: Cross multiply
    1,969.06x = 2,952.12 × 928.47
  4. Step 4: Simplify right side
    1,969.06x = 2,740,940.10
  5. Step 5: Solve for x
    x = 2,740,940.10/1,969.06
  6. Step 6: Final answer
    x = 1,392.01

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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.