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Finding the Fourth Proportional to 7,101.50, 9,803.08 and 4,448.34

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Solution

The fourth proportional to 7,101.50, 9,803.08 and 4,448.34 is: 6,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.50 : 9,803.08 = 4,448.34 : x
  2. Step 2: Convert to fraction form
    7,101.50/9,803.08 = 4,448.34/x
  3. Step 3: Cross multiply
    7,101.50x = 9,803.08 × 4,448.34
  4. Step 4: Simplify right side
    7,101.50x = 43,607,432.89
  5. Step 5: Solve for x
    x = 43,607,432.89/7,101.50
  6. Step 6: Final answer
    x = 6,140.59

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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.