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Finding the Fourth Proportional to 8,604.64, 12,898.32 and 4,492

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Solution

The fourth proportional to 8,604.64, 12,898.32 and 4,492 is: 6,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.64 : 12,898.32 = 4,492 : x
  2. Step 2: Convert to fraction form
    8,604.64/12,898.32 = 4,492/x
  3. Step 3: Cross multiply
    8,604.64x = 12,898.32 × 4,492
  4. Step 4: Simplify right side
    8,604.64x = 57,939,253.44
  5. Step 5: Solve for x
    x = 57,939,253.44/8,604.64
  6. Step 6: Final answer
    x = 6,733.49

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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.