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Finding the Fourth Proportional to 22,779.63, 34,169.30 and 7,779.51

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Solution

The fourth proportional to 22,779.63, 34,169.30 and 7,779.51 is: 11,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.63 : 34,169.30 = 7,779.51 : x
  2. Step 2: Convert to fraction form
    22,779.63/34,169.30 = 7,779.51/x
  3. Step 3: Cross multiply
    22,779.63x = 34,169.30 × 7,779.51
  4. Step 4: Simplify right side
    22,779.63x = 265,820,478.86
  5. Step 5: Solve for x
    x = 265,820,478.86/22,779.63
  6. Step 6: Final answer
    x = 11,669.22

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1.5x scale

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.