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Finding the Fourth Proportional to 34,430, 47,521.50 and 21,012.35

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Solution

The fourth proportional to 34,430, 47,521.50 and 21,012.35 is: 29,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430 : 47,521.50 = 21,012.35 : x
  2. Step 2: Convert to fraction form
    34,430/47,521.50 = 21,012.35/x
  3. Step 3: Cross multiply
    34,430x = 47,521.50 × 21,012.35
  4. Step 4: Simplify right side
    34,430x = 998,538,390.53
  5. Step 5: Solve for x
    x = 998,538,390.53/34,430
  6. Step 6: Final answer
    x = 29,001.99

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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.