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Finding the Fourth Proportional to 7,101.23, 9,798.23 and 5,419.67

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Solution

The fourth proportional to 7,101.23, 9,798.23 and 5,419.67 is: 7,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.23 : 9,798.23 = 5,419.67 : x
  2. Step 2: Convert to fraction form
    7,101.23/9,798.23 = 5,419.67/x
  3. Step 3: Cross multiply
    7,101.23x = 9,798.23 × 5,419.67
  4. Step 4: Simplify right side
    7,101.23x = 53,103,137.74
  5. Step 5: Solve for x
    x = 53,103,137.74/7,101.23
  6. Step 6: Final answer
    x = 7,478.02

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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.