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Finding the Fourth Proportional to 12,853.77, 19,258.65 and 7,014.48

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Solution

The fourth proportional to 12,853.77, 19,258.65 and 7,014.48 is: 10,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.77 : 19,258.65 = 7,014.48 : x
  2. Step 2: Convert to fraction form
    12,853.77/19,258.65 = 7,014.48/x
  3. Step 3: Cross multiply
    12,853.77x = 19,258.65 × 7,014.48
  4. Step 4: Simplify right side
    12,853.77x = 135,089,415.25
  5. Step 5: Solve for x
    x = 135,089,415.25/12,853.77
  6. Step 6: Final answer
    x = 10,509.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.