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Finding the Fourth Proportional to 18,768, 25,900.08 and 10,384.32

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Solution

The fourth proportional to 18,768, 25,900.08 and 10,384.32 is: 14,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768 : 25,900.08 = 10,384.32 : x
  2. Step 2: Convert to fraction form
    18,768/25,900.08 = 10,384.32/x
  3. Step 3: Cross multiply
    18,768x = 25,900.08 × 10,384.32
  4. Step 4: Simplify right side
    18,768x = 268,954,718.75
  5. Step 5: Solve for x
    x = 268,954,718.75/18,768
  6. Step 6: Final answer
    x = 14,330.49

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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.