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Finding the Fourth Proportional to 7,240.54, 9,983.18 and 6,119.50

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Solution

The fourth proportional to 7,240.54, 9,983.18 and 6,119.50 is: 8,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.54 : 9,983.18 = 6,119.50 : x
  2. Step 2: Convert to fraction form
    7,240.54/9,983.18 = 6,119.50/x
  3. Step 3: Cross multiply
    7,240.54x = 9,983.18 × 6,119.50
  4. Step 4: Simplify right side
    7,240.54x = 61,092,070.01
  5. Step 5: Solve for x
    x = 61,092,070.01/7,240.54
  6. Step 6: Final answer
    x = 8,437.50

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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.