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Finding the Fourth Proportional to 1,970.47, 2,952.22 and 1,853.40

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Solution

The fourth proportional to 1,970.47, 2,952.22 and 1,853.40 is: 2,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.47 : 2,952.22 = 1,853.40 : x
  2. Step 2: Convert to fraction form
    1,970.47/2,952.22 = 1,853.40/x
  3. Step 3: Cross multiply
    1,970.47x = 2,952.22 × 1,853.40
  4. Step 4: Simplify right side
    1,970.47x = 5,471,644.55
  5. Step 5: Solve for x
    x = 5,471,644.55/1,970.47
  6. Step 6: Final answer
    x = 2,776.82

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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.