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Finding the Fourth Proportional to 12,284.59, 16,953.19 and 6,980.31

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Solution

The fourth proportional to 12,284.59, 16,953.19 and 6,980.31 is: 9,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.59 : 16,953.19 = 6,980.31 : x
  2. Step 2: Convert to fraction form
    12,284.59/16,953.19 = 6,980.31/x
  3. Step 3: Cross multiply
    12,284.59x = 16,953.19 × 6,980.31
  4. Step 4: Simplify right side
    12,284.59x = 118,338,521.69
  5. Step 5: Solve for x
    x = 118,338,521.69/12,284.59
  6. Step 6: Final answer
    x = 9,633.09

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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.