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Finding the Fourth Proportional to 4,575, 6,862.50 and 1,112.25

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Solution

The fourth proportional to 4,575, 6,862.50 and 1,112.25 is: 1,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575 : 6,862.50 = 1,112.25 : x
  2. Step 2: Convert to fraction form
    4,575/6,862.50 = 1,112.25/x
  3. Step 3: Cross multiply
    4,575x = 6,862.50 × 1,112.25
  4. Step 4: Simplify right side
    4,575x = 7,632,815.63
  5. Step 5: Solve for x
    x = 7,632,815.63/4,575
  6. Step 6: Final answer
    x = 1,668.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.