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Finding the Fourth Proportional to 7,478.88, 10,319.04 and 4,497

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Solution

The fourth proportional to 7,478.88, 10,319.04 and 4,497 is: 6,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.88 : 10,319.04 = 4,497 : x
  2. Step 2: Convert to fraction form
    7,478.88/10,319.04 = 4,497/x
  3. Step 3: Cross multiply
    7,478.88x = 10,319.04 × 4,497
  4. Step 4: Simplify right side
    7,478.88x = 46,404,722.88
  5. Step 5: Solve for x
    x = 46,404,722.88/7,478.88
  6. Step 6: Final answer
    x = 6,204.77

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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.