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Finding the Fourth Proportional to 30,888, 46,332 and 21,002.76

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Solution

The fourth proportional to 30,888, 46,332 and 21,002.76 is: 31,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 46,332 = 21,002.76 : x
  2. Step 2: Convert to fraction form
    30,888/46,332 = 21,002.76/x
  3. Step 3: Cross multiply
    30,888x = 46,332 × 21,002.76
  4. Step 4: Simplify right side
    30,888x = 973,099,876.32
  5. Step 5: Solve for x
    x = 973,099,876.32/30,888
  6. Step 6: Final answer
    x = 31,504.14

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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.