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Finding the Fourth Proportional to 12,886.98, 17,782.38 and 7,579.86

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Solution

The fourth proportional to 12,886.98, 17,782.38 and 7,579.86 is: 10,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.98 : 17,782.38 = 7,579.86 : x
  2. Step 2: Convert to fraction form
    12,886.98/17,782.38 = 7,579.86/x
  3. Step 3: Cross multiply
    12,886.98x = 17,782.38 × 7,579.86
  4. Step 4: Simplify right side
    12,886.98x = 134,787,950.87
  5. Step 5: Solve for x
    x = 134,787,950.87/12,886.98
  6. Step 6: Final answer
    x = 10,459.23

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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.