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Finding the Fourth Proportional to 30,837.32, 46,247.58 and 8,649.32

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Solution

The fourth proportional to 30,837.32, 46,247.58 and 8,649.32 is: 12,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.32 : 46,247.58 = 8,649.32 : x
  2. Step 2: Convert to fraction form
    30,837.32/46,247.58 = 8,649.32/x
  3. Step 3: Cross multiply
    30,837.32x = 46,247.58 × 8,649.32
  4. Step 4: Simplify right side
    30,837.32x = 400,010,118.65
  5. Step 5: Solve for x
    x = 400,010,118.65/30,837.32
  6. Step 6: Final answer
    x = 12,971.62

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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.