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Finding the Fourth Proportional to 51,383, 77,074.53 and 14,447

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Solution

The fourth proportional to 51,383, 77,074.53 and 14,447 is: 21,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383 : 77,074.53 = 14,447 : x
  2. Step 2: Convert to fraction form
    51,383/77,074.53 = 14,447/x
  3. Step 3: Cross multiply
    51,383x = 77,074.53 × 14,447
  4. Step 4: Simplify right side
    51,383x = 1,113,495,734.91
  5. Step 5: Solve for x
    x = 1,113,495,734.91/51,383
  6. Step 6: Final answer
    x = 21,670.51

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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.