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Finding the Fourth Proportional to 51,388, 77,082 and 14,452

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Solution

The fourth proportional to 51,388, 77,082 and 14,452 is: 21,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,388 : 77,082 = 14,452 : x
  2. Step 2: Convert to fraction form
    51,388/77,082 = 14,452/x
  3. Step 3: Cross multiply
    51,388x = 77,082 × 14,452
  4. Step 4: Simplify right side
    51,388x = 1,113,989,064
  5. Step 5: Solve for x
    x = 1,113,989,064/51,388
  6. Step 6: Final answer
    x = 21,678

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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.