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Finding the Fourth Proportional to 4,456, 6,681.57 and 1,988.34

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Solution

The fourth proportional to 4,456, 6,681.57 and 1,988.34 is: 2,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456 : 6,681.57 = 1,988.34 : x
  2. Step 2: Convert to fraction form
    4,456/6,681.57 = 1,988.34/x
  3. Step 3: Cross multiply
    4,456x = 6,681.57 × 1,988.34
  4. Step 4: Simplify right side
    4,456x = 13,285,232.89
  5. Step 5: Solve for x
    x = 13,285,232.89/4,456
  6. Step 6: Final answer
    x = 2,981.43

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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.