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Finding the Fourth Proportional to 13,566.72, 18,721 and 7,597

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Solution

The fourth proportional to 13,566.72, 18,721 and 7,597 is: 10,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.72 : 18,721 = 7,597 : x
  2. Step 2: Convert to fraction form
    13,566.72/18,721 = 7,597/x
  3. Step 3: Cross multiply
    13,566.72x = 18,721 × 7,597
  4. Step 4: Simplify right side
    13,566.72x = 142,223,437
  5. Step 5: Solve for x
    x = 142,223,437/13,566.72
  6. Step 6: Final answer
    x = 10,483.26

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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.