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Finding the Fourth Proportional to 12,143.60, 16,746.44 and 7,895.84

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Solution

The fourth proportional to 12,143.60, 16,746.44 and 7,895.84 is: 10,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.60 : 16,746.44 = 7,895.84 : x
  2. Step 2: Convert to fraction form
    12,143.60/16,746.44 = 7,895.84/x
  3. Step 3: Cross multiply
    12,143.60x = 16,746.44 × 7,895.84
  4. Step 4: Simplify right side
    12,143.60x = 132,227,210.81
  5. Step 5: Solve for x
    x = 132,227,210.81/12,143.60
  6. Step 6: Final answer
    x = 10,888.63

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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.