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Finding the Fourth Proportional to 12,283.92, 16,953.12 and 6,980.04

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Solution

The fourth proportional to 12,283.92, 16,953.12 and 6,980.04 is: 9,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.92 : 16,953.12 = 6,980.04 : x
  2. Step 2: Convert to fraction form
    12,283.92/16,953.12 = 6,980.04/x
  3. Step 3: Cross multiply
    12,283.92x = 16,953.12 × 6,980.04
  4. Step 4: Simplify right side
    12,283.92x = 118,333,455.72
  5. Step 5: Solve for x
    x = 118,333,455.72/12,283.92
  6. Step 6: Final answer
    x = 9,633.20

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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.