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Finding the Fourth Proportional to 8,411.20, 11,607 and 4,633.63

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Solution

The fourth proportional to 8,411.20, 11,607 and 4,633.63 is: 6,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.20 : 11,607 = 4,633.63 : x
  2. Step 2: Convert to fraction form
    8,411.20/11,607 = 4,633.63/x
  3. Step 3: Cross multiply
    8,411.20x = 11,607 × 4,633.63
  4. Step 4: Simplify right side
    8,411.20x = 53,782,543.41
  5. Step 5: Solve for x
    x = 53,782,543.41/8,411.20
  6. Step 6: Final answer
    x = 6,394.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.