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Finding the Fourth Proportional to 13,490, 18,616.44 and 7,900.88

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Solution

The fourth proportional to 13,490, 18,616.44 and 7,900.88 is: 10,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490 : 18,616.44 = 7,900.88 : x
  2. Step 2: Convert to fraction form
    13,490/18,616.44 = 7,900.88/x
  3. Step 3: Cross multiply
    13,490x = 18,616.44 × 7,900.88
  4. Step 4: Simplify right side
    13,490x = 147,086,258.47
  5. Step 5: Solve for x
    x = 147,086,258.47/13,490
  6. Step 6: Final answer
    x = 10,903.35

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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.