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Finding the Fourth Proportional to 7,031.56, 9,703.62 and 3,887.80

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Solution

The fourth proportional to 7,031.56, 9,703.62 and 3,887.80 is: 5,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.56 : 9,703.62 = 3,887.80 : x
  2. Step 2: Convert to fraction form
    7,031.56/9,703.62 = 3,887.80/x
  3. Step 3: Cross multiply
    7,031.56x = 9,703.62 × 3,887.80
  4. Step 4: Simplify right side
    7,031.56x = 37,725,733.84
  5. Step 5: Solve for x
    x = 37,725,733.84/7,031.56
  6. Step 6: Final answer
    x = 5,365.20

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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.