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Finding the Fourth Proportional to 1,985.85, 2,978.75 and 816.01

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Solution

The fourth proportional to 1,985.85, 2,978.75 and 816.01 is: 1,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.85 : 2,978.75 = 816.01 : x
  2. Step 2: Convert to fraction form
    1,985.85/2,978.75 = 816.01/x
  3. Step 3: Cross multiply
    1,985.85x = 2,978.75 × 816.01
  4. Step 4: Simplify right side
    1,985.85x = 2,430,684.38
  5. Step 5: Solve for x
    x = 2,430,684.38/1,985.85
  6. Step 6: Final answer
    x = 1,224.00

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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.