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Finding the Fourth Proportional to 1,985.94, 2,983.50 and 1,875.24

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Solution

The fourth proportional to 1,985.94, 2,983.50 and 1,875.24 is: 2,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.94 : 2,983.50 = 1,875.24 : x
  2. Step 2: Convert to fraction form
    1,985.94/2,983.50 = 1,875.24/x
  3. Step 3: Cross multiply
    1,985.94x = 2,983.50 × 1,875.24
  4. Step 4: Simplify right side
    1,985.94x = 5,594,778.54
  5. Step 5: Solve for x
    x = 5,594,778.54/1,985.94
  6. Step 6: Final answer
    x = 2,817.19

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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.