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Finding the Fourth Proportional to 7,088.85, 9,782.98 and 3,945.24

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Solution

The fourth proportional to 7,088.85, 9,782.98 and 3,945.24 is: 5,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.85 : 9,782.98 = 3,945.24 : x
  2. Step 2: Convert to fraction form
    7,088.85/9,782.98 = 3,945.24/x
  3. Step 3: Cross multiply
    7,088.85x = 9,782.98 × 3,945.24
  4. Step 4: Simplify right side
    7,088.85x = 38,596,194.15
  5. Step 5: Solve for x
    x = 38,596,194.15/7,088.85
  6. Step 6: Final answer
    x = 5,444.63

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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.