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Finding the Fourth Proportional to 31,907.34, 47,828.34 and 14,389.47

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Solution

The fourth proportional to 31,907.34, 47,828.34 and 14,389.47 is: 21,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.34 : 47,828.34 = 14,389.47 : x
  2. Step 2: Convert to fraction form
    31,907.34/47,828.34 = 14,389.47/x
  3. Step 3: Cross multiply
    31,907.34x = 47,828.34 × 14,389.47
  4. Step 4: Simplify right side
    31,907.34x = 688,224,463.58
  5. Step 5: Solve for x
    x = 688,224,463.58/31,907.34
  6. Step 6: Final answer
    x = 21,569.47

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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.