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Finding the Fourth Proportional to 7,088.31, 9,780.54 and 3,944.50

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Solution

The fourth proportional to 7,088.31, 9,780.54 and 3,944.50 is: 5,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.31 : 9,780.54 = 3,944.50 : x
  2. Step 2: Convert to fraction form
    7,088.31/9,780.54 = 3,944.50/x
  3. Step 3: Cross multiply
    7,088.31x = 9,780.54 × 3,944.50
  4. Step 4: Simplify right side
    7,088.31x = 38,579,340.03
  5. Step 5: Solve for x
    x = 38,579,340.03/7,088.31
  6. Step 6: Final answer
    x = 5,442.67

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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.