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Finding the Fourth Proportional to 7,671.04, 10,572 and 5,571.52

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Solution

The fourth proportional to 7,671.04, 10,572 and 5,571.52 is: 7,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.04 : 10,572 = 5,571.52 : x
  2. Step 2: Convert to fraction form
    7,671.04/10,572 = 5,571.52/x
  3. Step 3: Cross multiply
    7,671.04x = 10,572 × 5,571.52
  4. Step 4: Simplify right side
    7,671.04x = 58,902,109.44
  5. Step 5: Solve for x
    x = 58,902,109.44/7,671.04
  6. Step 6: Final answer
    x = 7,678.50

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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.