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Finding the Fourth Proportional to 7,572, 10,468.80 and 7,245.60

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Solution

The fourth proportional to 7,572, 10,468.80 and 7,245.60 is: 10,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 10,468.80 = 7,245.60 : x
  2. Step 2: Convert to fraction form
    7,572/10,468.80 = 7,245.60/x
  3. Step 3: Cross multiply
    7,572x = 10,468.80 × 7,245.60
  4. Step 4: Simplify right side
    7,572x = 75,852,737.28
  5. Step 5: Solve for x
    x = 75,852,737.28/7,572
  6. Step 6: Final answer
    x = 10,017.53

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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.