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Finding the Fourth Proportional to 12,488.63, 17,233.99 and 6,823.40

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Solution

The fourth proportional to 12,488.63, 17,233.99 and 6,823.40 is: 9,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.63 : 17,233.99 = 6,823.40 : x
  2. Step 2: Convert to fraction form
    12,488.63/17,233.99 = 6,823.40/x
  3. Step 3: Cross multiply
    12,488.63x = 17,233.99 × 6,823.40
  4. Step 4: Simplify right side
    12,488.63x = 117,594,304.14
  5. Step 5: Solve for x
    x = 117,594,304.14/12,488.63
  6. Step 6: Final answer
    x = 9,416.11

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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.