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Finding the Fourth Proportional to 19,309.12, 28,950 and 8,064.16

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Solution

The fourth proportional to 19,309.12, 28,950 and 8,064.16 is: 12,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.12 : 28,950 = 8,064.16 : x
  2. Step 2: Convert to fraction form
    19,309.12/28,950 = 8,064.16/x
  3. Step 3: Cross multiply
    19,309.12x = 28,950 × 8,064.16
  4. Step 4: Simplify right side
    19,309.12x = 233,457,432
  5. Step 5: Solve for x
    x = 233,457,432/19,309.12
  6. Step 6: Final answer
    x = 12,090.53

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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.