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Finding the Fourth Proportional to 6,326.78, 9,491.78 and 2,430.14

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Solution

The fourth proportional to 6,326.78, 9,491.78 and 2,430.14 is: 3,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.78 : 9,491.78 = 2,430.14 : x
  2. Step 2: Convert to fraction form
    6,326.78/9,491.78 = 2,430.14/x
  3. Step 3: Cross multiply
    6,326.78x = 9,491.78 × 2,430.14
  4. Step 4: Simplify right side
    6,326.78x = 23,066,312.87
  5. Step 5: Solve for x
    x = 23,066,312.87/6,326.78
  6. Step 6: Final answer
    x = 3,645.82

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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.