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Finding the Fourth Proportional to 7,237, 9,987.06 and 4,093.12

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Solution

The fourth proportional to 7,237, 9,987.06 and 4,093.12 is: 5,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237 : 9,987.06 = 4,093.12 : x
  2. Step 2: Convert to fraction form
    7,237/9,987.06 = 4,093.12/x
  3. Step 3: Cross multiply
    7,237x = 9,987.06 × 4,093.12
  4. Step 4: Simplify right side
    7,237x = 40,878,235.03
  5. Step 5: Solve for x
    x = 40,878,235.03/7,237
  6. Step 6: Final answer
    x = 5,648.51

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1.5x scale

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.