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Finding the Fourth Proportional to 12,289.62, 16,953.20 and 8,312.08

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Solution

The fourth proportional to 12,289.62, 16,953.20 and 8,312.08 is: 11,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.62 : 16,953.20 = 8,312.08 : x
  2. Step 2: Convert to fraction form
    12,289.62/16,953.20 = 8,312.08/x
  3. Step 3: Cross multiply
    12,289.62x = 16,953.20 × 8,312.08
  4. Step 4: Simplify right side
    12,289.62x = 140,916,354.66
  5. Step 5: Solve for x
    x = 140,916,354.66/12,289.62
  6. Step 6: Final answer
    x = 11,466.29

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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.