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Finding the Fourth Proportional to 30,971.28, 46,450.92 and 8,779.32

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Solution

The fourth proportional to 30,971.28, 46,450.92 and 8,779.32 is: 13,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.28 : 46,450.92 = 8,779.32 : x
  2. Step 2: Convert to fraction form
    30,971.28/46,450.92 = 8,779.32/x
  3. Step 3: Cross multiply
    30,971.28x = 46,450.92 × 8,779.32
  4. Step 4: Simplify right side
    30,971.28x = 407,807,490.97
  5. Step 5: Solve for x
    x = 407,807,490.97/30,971.28
  6. Step 6: Final answer
    x = 13,167.28

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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.