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Finding the Fourth Proportional to 14,263.86, 21,388.16 and 4,772

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Solution

The fourth proportional to 14,263.86, 21,388.16 and 4,772 is: 7,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.86 : 21,388.16 = 4,772 : x
  2. Step 2: Convert to fraction form
    14,263.86/21,388.16 = 4,772/x
  3. Step 3: Cross multiply
    14,263.86x = 21,388.16 × 4,772
  4. Step 4: Simplify right side
    14,263.86x = 102,064,299.52
  5. Step 5: Solve for x
    x = 102,064,299.52/14,263.86
  6. Step 6: Final answer
    x = 7,155.45

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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.