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Finding the Fourth Proportional to 7,811, 10,779.28 and 4,499

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Solution

The fourth proportional to 7,811, 10,779.28 and 4,499 is: 6,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 10,779.28 = 4,499 : x
  2. Step 2: Convert to fraction form
    7,811/10,779.28 = 4,499/x
  3. Step 3: Cross multiply
    7,811x = 10,779.28 × 4,499
  4. Step 4: Simplify right side
    7,811x = 48,495,980.72
  5. Step 5: Solve for x
    x = 48,495,980.72/7,811
  6. Step 6: Final answer
    x = 6,208.68

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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.