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Finding the Fourth Proportional to 7,035.54, 9,699.90 and 4,378.20

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Solution

The fourth proportional to 7,035.54, 9,699.90 and 4,378.20 is: 6,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.54 : 9,699.90 = 4,378.20 : x
  2. Step 2: Convert to fraction form
    7,035.54/9,699.90 = 4,378.20/x
  3. Step 3: Cross multiply
    7,035.54x = 9,699.90 × 4,378.20
  4. Step 4: Simplify right side
    7,035.54x = 42,468,102.18
  5. Step 5: Solve for x
    x = 42,468,102.18/7,035.54
  6. Step 6: Final answer
    x = 6,036.22

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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.