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Finding the Fourth Proportional to 38,880, 58,328.64 and 14,256

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Solution

The fourth proportional to 38,880, 58,328.64 and 14,256 is: 21,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 58,328.64 = 14,256 : x
  2. Step 2: Convert to fraction form
    38,880/58,328.64 = 14,256/x
  3. Step 3: Cross multiply
    38,880x = 58,328.64 × 14,256
  4. Step 4: Simplify right side
    38,880x = 831,533,091.84
  5. Step 5: Solve for x
    x = 831,533,091.84/38,880
  6. Step 6: Final answer
    x = 21,387.17

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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.