Home / 31,783.74-47,691-13,077.60

Finding the Fourth Proportional to 31,783.74, 47,691 and 13,077.60

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Solution

The fourth proportional to 31,783.74, 47,691 and 13,077.60 is: 19,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.74 : 47,691 = 13,077.60 : x
  2. Step 2: Convert to fraction form
    31,783.74/47,691 = 13,077.60/x
  3. Step 3: Cross multiply
    31,783.74x = 47,691 × 13,077.60
  4. Step 4: Simplify right side
    31,783.74x = 623,683,821.60
  5. Step 5: Solve for x
    x = 623,683,821.60/31,783.74
  6. Step 6: Final answer
    x = 19,622.73

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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.