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Finding the Fourth Proportional to 12,858.60, 17,746.76 and 8,143.32

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Solution

The fourth proportional to 12,858.60, 17,746.76 and 8,143.32 is: 11,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.60 : 17,746.76 = 8,143.32 : x
  2. Step 2: Convert to fraction form
    12,858.60/17,746.76 = 8,143.32/x
  3. Step 3: Cross multiply
    12,858.60x = 17,746.76 × 8,143.32
  4. Step 4: Simplify right side
    12,858.60x = 144,517,545.64
  5. Step 5: Solve for x
    x = 144,517,545.64/12,858.60
  6. Step 6: Final answer
    x = 11,238.98

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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.