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Finding the Fourth Proportional to 5,904.72, 8,866.80 and 5,180.40

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Solution

The fourth proportional to 5,904.72, 8,866.80 and 5,180.40 is: 7,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.72 : 8,866.80 = 5,180.40 : x
  2. Step 2: Convert to fraction form
    5,904.72/8,866.80 = 5,180.40/x
  3. Step 3: Cross multiply
    5,904.72x = 8,866.80 × 5,180.40
  4. Step 4: Simplify right side
    5,904.72x = 45,933,570.72
  5. Step 5: Solve for x
    x = 45,933,570.72/5,904.72
  6. Step 6: Final answer
    x = 7,779.13

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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.