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Finding the Fourth Proportional to 1,985.55, 2,978.32 and 832.11

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Solution

The fourth proportional to 1,985.55, 2,978.32 and 832.11 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.55 : 2,978.32 = 832.11 : x
  2. Step 2: Convert to fraction form
    1,985.55/2,978.32 = 832.11/x
  3. Step 3: Cross multiply
    1,985.55x = 2,978.32 × 832.11
  4. Step 4: Simplify right side
    1,985.55x = 2,478,289.86
  5. Step 5: Solve for x
    x = 2,478,289.86/1,985.55
  6. Step 6: Final answer
    x = 1,248.16

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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.