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Finding the Fourth Proportional to 13,258.56, 19,895.04 and 9,969.60

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Solution

The fourth proportional to 13,258.56, 19,895.04 and 9,969.60 is: 14,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.56 : 19,895.04 = 9,969.60 : x
  2. Step 2: Convert to fraction form
    13,258.56/19,895.04 = 9,969.60/x
  3. Step 3: Cross multiply
    13,258.56x = 19,895.04 × 9,969.60
  4. Step 4: Simplify right side
    13,258.56x = 198,345,590.78
  5. Step 5: Solve for x
    x = 198,345,590.78/13,258.56
  6. Step 6: Final answer
    x = 14,959.81

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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.