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Finding the Fourth Proportional to 9,537, 13,161.06 and 5,345.28

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Solution

The fourth proportional to 9,537, 13,161.06 and 5,345.28 is: 7,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 13,161.06 = 5,345.28 : x
  2. Step 2: Convert to fraction form
    9,537/13,161.06 = 5,345.28/x
  3. Step 3: Cross multiply
    9,537x = 13,161.06 × 5,345.28
  4. Step 4: Simplify right side
    9,537x = 70,349,550.80
  5. Step 5: Solve for x
    x = 70,349,550.80/9,537
  6. Step 6: Final answer
    x = 7,376.49

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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.