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Finding the Fourth Proportional to 5,289.40, 7,935.90 and 1,779.77

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Solution

The fourth proportional to 5,289.40, 7,935.90 and 1,779.77 is: 2,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.40 : 7,935.90 = 1,779.77 : x
  2. Step 2: Convert to fraction form
    5,289.40/7,935.90 = 1,779.77/x
  3. Step 3: Cross multiply
    5,289.40x = 7,935.90 × 1,779.77
  4. Step 4: Simplify right side
    5,289.40x = 14,124,094.91
  5. Step 5: Solve for x
    x = 14,124,094.91/5,289.40
  6. Step 6: Final answer
    x = 2,670.26

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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.