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Finding the Fourth Proportional to 12,423.51, 17,145.99 and 7,708.50

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Solution

The fourth proportional to 12,423.51, 17,145.99 and 7,708.50 is: 10,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.51 : 17,145.99 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    12,423.51/17,145.99 = 7,708.50/x
  3. Step 3: Cross multiply
    12,423.51x = 17,145.99 × 7,708.50
  4. Step 4: Simplify right side
    12,423.51x = 132,169,863.92
  5. Step 5: Solve for x
    x = 132,169,863.92/12,423.51
  6. Step 6: Final answer
    x = 10,638.69

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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.