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Finding the Fourth Proportional to 7,152, 9,872.99 and 4,503.30

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Solution

The fourth proportional to 7,152, 9,872.99 and 4,503.30 is: 6,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152 : 9,872.99 = 4,503.30 : x
  2. Step 2: Convert to fraction form
    7,152/9,872.99 = 4,503.30/x
  3. Step 3: Cross multiply
    7,152x = 9,872.99 × 4,503.30
  4. Step 4: Simplify right side
    7,152x = 44,461,035.87
  5. Step 5: Solve for x
    x = 44,461,035.87/7,152
  6. Step 6: Final answer
    x = 6,216.59

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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.