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Finding the Fourth Proportional to 5,286, 7,968.75 and 4,929.24

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Solution

The fourth proportional to 5,286, 7,968.75 and 4,929.24 is: 7,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 7,968.75 = 4,929.24 : x
  2. Step 2: Convert to fraction form
    5,286/7,968.75 = 4,929.24/x
  3. Step 3: Cross multiply
    5,286x = 7,968.75 × 4,929.24
  4. Step 4: Simplify right side
    5,286x = 39,279,881.25
  5. Step 5: Solve for x
    x = 39,279,881.25/5,286
  6. Step 6: Final answer
    x = 7,430.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.