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Finding the Fourth Proportional to 4,188.22, 5,779.90 and 2,509.90

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Solution

The fourth proportional to 4,188.22, 5,779.90 and 2,509.90 is: 3,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.22 : 5,779.90 = 2,509.90 : x
  2. Step 2: Convert to fraction form
    4,188.22/5,779.90 = 2,509.90/x
  3. Step 3: Cross multiply
    4,188.22x = 5,779.90 × 2,509.90
  4. Step 4: Simplify right side
    4,188.22x = 14,506,971.01
  5. Step 5: Solve for x
    x = 14,506,971.01/4,188.22
  6. Step 6: Final answer
    x = 3,463.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.