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Finding the Fourth Proportional to 12,246, 18,312.92 and 9,128.20

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Solution

The fourth proportional to 12,246, 18,312.92 and 9,128.20 is: 13,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 18,312.92 = 9,128.20 : x
  2. Step 2: Convert to fraction form
    12,246/18,312.92 = 9,128.20/x
  3. Step 3: Cross multiply
    12,246x = 18,312.92 × 9,128.20
  4. Step 4: Simplify right side
    12,246x = 167,163,996.34
  5. Step 5: Solve for x
    x = 167,163,996.34/12,246
  6. Step 6: Final answer
    x = 13,650.50

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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.