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Finding the Fourth Proportional to 5,782.64, 8,670.30 and 3,187.40

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Solution

The fourth proportional to 5,782.64, 8,670.30 and 3,187.40 is: 4,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.64 : 8,670.30 = 3,187.40 : x
  2. Step 2: Convert to fraction form
    5,782.64/8,670.30 = 3,187.40/x
  3. Step 3: Cross multiply
    5,782.64x = 8,670.30 × 3,187.40
  4. Step 4: Simplify right side
    5,782.64x = 27,635,714.22
  5. Step 5: Solve for x
    x = 27,635,714.22/5,782.64
  6. Step 6: Final answer
    x = 4,779.08

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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.