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Finding the Fourth Proportional to 7,237, 9,987.56 and 4,093.20

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Solution

The fourth proportional to 7,237, 9,987.56 and 4,093.20 is: 5,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237 : 9,987.56 = 4,093.20 : x
  2. Step 2: Convert to fraction form
    7,237/9,987.56 = 4,093.20/x
  3. Step 3: Cross multiply
    7,237x = 9,987.56 × 4,093.20
  4. Step 4: Simplify right side
    7,237x = 40,881,080.59
  5. Step 5: Solve for x
    x = 40,881,080.59/7,237
  6. Step 6: Final answer
    x = 5,648.90

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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.