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Finding the Fourth Proportional to 11,571, 15,970.14 and 6,603

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Solution

The fourth proportional to 11,571, 15,970.14 and 6,603 is: 9,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 15,970.14 = 6,603 : x
  2. Step 2: Convert to fraction form
    11,571/15,970.14 = 6,603/x
  3. Step 3: Cross multiply
    11,571x = 15,970.14 × 6,603
  4. Step 4: Simplify right side
    11,571x = 105,450,834.42
  5. Step 5: Solve for x
    x = 105,450,834.42/11,571
  6. Step 6: Final answer
    x = 9,113.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.