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Finding the Fourth Proportional to 14,598, 20,145.72 and 7,974

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Solution

The fourth proportional to 14,598, 20,145.72 and 7,974 is: 11,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 20,145.72 = 7,974 : x
  2. Step 2: Convert to fraction form
    14,598/20,145.72 = 7,974/x
  3. Step 3: Cross multiply
    14,598x = 20,145.72 × 7,974
  4. Step 4: Simplify right side
    14,598x = 160,641,971.28
  5. Step 5: Solve for x
    x = 160,641,971.28/14,598
  6. Step 6: Final answer
    x = 11,004.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.