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Finding the Fourth Proportional to 13,803, 20,705.58 and 4,569

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Solution

The fourth proportional to 13,803, 20,705.58 and 4,569 is: 6,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803 : 20,705.58 = 4,569 : x
  2. Step 2: Convert to fraction form
    13,803/20,705.58 = 4,569/x
  3. Step 3: Cross multiply
    13,803x = 20,705.58 × 4,569
  4. Step 4: Simplify right side
    13,803x = 94,603,795.02
  5. Step 5: Solve for x
    x = 94,603,795.02/13,803
  6. Step 6: Final answer
    x = 6,853.86

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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.