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Finding the Fourth Proportional to 30,367.60, 45,564 and 13,716.16

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Solution

The fourth proportional to 30,367.60, 45,564 and 13,716.16 is: 20,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367.60 : 45,564 = 13,716.16 : x
  2. Step 2: Convert to fraction form
    30,367.60/45,564 = 13,716.16/x
  3. Step 3: Cross multiply
    30,367.60x = 45,564 × 13,716.16
  4. Step 4: Simplify right side
    30,367.60x = 624,963,114.24
  5. Step 5: Solve for x
    x = 624,963,114.24/30,367.60
  6. Step 6: Final answer
    x = 20,579.93

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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.