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Finding the Fourth Proportional to 30,779.56, 46,162.70 and 9,721.24

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Solution

The fourth proportional to 30,779.56, 46,162.70 and 9,721.24 is: 14,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.56 : 46,162.70 = 9,721.24 : x
  2. Step 2: Convert to fraction form
    30,779.56/46,162.70 = 9,721.24/x
  3. Step 3: Cross multiply
    30,779.56x = 46,162.70 × 9,721.24
  4. Step 4: Simplify right side
    30,779.56x = 448,758,685.75
  5. Step 5: Solve for x
    x = 448,758,685.75/30,779.56
  6. Step 6: Final answer
    x = 14,579.76

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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.