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Finding the Fourth Proportional to 30,778.64, 46,171.30 and 9,719.25

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Solution

The fourth proportional to 30,778.64, 46,171.30 and 9,719.25 is: 14,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.64 : 46,171.30 = 9,719.25 : x
  2. Step 2: Convert to fraction form
    30,778.64/46,171.30 = 9,719.25/x
  3. Step 3: Cross multiply
    30,778.64x = 46,171.30 × 9,719.25
  4. Step 4: Simplify right side
    30,778.64x = 448,750,407.53
  5. Step 5: Solve for x
    x = 448,750,407.53/30,778.64
  6. Step 6: Final answer
    x = 14,579.93

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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.