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Finding the Fourth Proportional to 7,326.69, 10,989.87 and 1,780.06

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Solution

The fourth proportional to 7,326.69, 10,989.87 and 1,780.06 is: 2,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326.69 : 10,989.87 = 1,780.06 : x
  2. Step 2: Convert to fraction form
    7,326.69/10,989.87 = 1,780.06/x
  3. Step 3: Cross multiply
    7,326.69x = 10,989.87 × 1,780.06
  4. Step 4: Simplify right side
    7,326.69x = 19,562,624.46
  5. Step 5: Solve for x
    x = 19,562,624.46/7,326.69
  6. Step 6: Final answer
    x = 2,670.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.