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Finding the Fourth Proportional to 13,139.70, 19,714.95 and 4,823.70

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Solution

The fourth proportional to 13,139.70, 19,714.95 and 4,823.70 is: 7,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.70 : 19,714.95 = 4,823.70 : x
  2. Step 2: Convert to fraction form
    13,139.70/19,714.95 = 4,823.70/x
  3. Step 3: Cross multiply
    13,139.70x = 19,714.95 × 4,823.70
  4. Step 4: Simplify right side
    13,139.70x = 95,099,004.32
  5. Step 5: Solve for x
    x = 95,099,004.32/13,139.70
  6. Step 6: Final answer
    x = 7,237.53

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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.