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Finding the Fourth Proportional to 14,138, 21,207.04 and 4,904

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Solution

The fourth proportional to 14,138, 21,207.04 and 4,904 is: 7,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 21,207.04 = 4,904 : x
  2. Step 2: Convert to fraction form
    14,138/21,207.04 = 4,904/x
  3. Step 3: Cross multiply
    14,138x = 21,207.04 × 4,904
  4. Step 4: Simplify right side
    14,138x = 103,999,324.16
  5. Step 5: Solve for x
    x = 103,999,324.16/14,138
  6. Step 6: Final answer
    x = 7,356.01

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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.