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Finding the Fourth Proportional to 8,430.54, 12,643.08 and 2,806.71

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Solution

The fourth proportional to 8,430.54, 12,643.08 and 2,806.71 is: 4,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.54 : 12,643.08 = 2,806.71 : x
  2. Step 2: Convert to fraction form
    8,430.54/12,643.08 = 2,806.71/x
  3. Step 3: Cross multiply
    8,430.54x = 12,643.08 × 2,806.71
  4. Step 4: Simplify right side
    8,430.54x = 35,485,459.07
  5. Step 5: Solve for x
    x = 35,485,459.07/8,430.54
  6. Step 6: Final answer
    x = 4,209.16

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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.