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Finding the Fourth Proportional to 8,646.42, 12,969.09 and 4,260

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Solution

The fourth proportional to 8,646.42, 12,969.09 and 4,260 is: 6,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.42 : 12,969.09 = 4,260 : x
  2. Step 2: Convert to fraction form
    8,646.42/12,969.09 = 4,260/x
  3. Step 3: Cross multiply
    8,646.42x = 12,969.09 × 4,260
  4. Step 4: Simplify right side
    8,646.42x = 55,248,323.40
  5. Step 5: Solve for x
    x = 55,248,323.40/8,646.42
  6. Step 6: Final answer
    x = 6,389.73

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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.