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Finding the Fourth Proportional to 8,649.48, 12,973.80 and 2,409.48

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Solution

The fourth proportional to 8,649.48, 12,973.80 and 2,409.48 is: 3,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.48 : 12,973.80 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    8,649.48/12,973.80 = 2,409.48/x
  3. Step 3: Cross multiply
    8,649.48x = 12,973.80 × 2,409.48
  4. Step 4: Simplify right side
    8,649.48x = 31,260,111.62
  5. Step 5: Solve for x
    x = 31,260,111.62/8,649.48
  6. Step 6: Final answer
    x = 3,614.10

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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.