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Finding the Fourth Proportional to 30,918.74, 46,340.10 and 14,255.64

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Solution

The fourth proportional to 30,918.74, 46,340.10 and 14,255.64 is: 21,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.74 : 46,340.10 = 14,255.64 : x
  2. Step 2: Convert to fraction form
    30,918.74/46,340.10 = 14,255.64/x
  3. Step 3: Cross multiply
    30,918.74x = 46,340.10 × 14,255.64
  4. Step 4: Simplify right side
    30,918.74x = 660,607,783.16
  5. Step 5: Solve for x
    x = 660,607,783.16/30,918.74
  6. Step 6: Final answer
    x = 21,365.93

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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.