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Finding the Fourth Proportional to 19,410, 26,785.80 and 10,578

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Solution

The fourth proportional to 19,410, 26,785.80 and 10,578 is: 14,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410 : 26,785.80 = 10,578 : x
  2. Step 2: Convert to fraction form
    19,410/26,785.80 = 10,578/x
  3. Step 3: Cross multiply
    19,410x = 26,785.80 × 10,578
  4. Step 4: Simplify right side
    19,410x = 283,340,192.40
  5. Step 5: Solve for x
    x = 283,340,192.40/19,410
  6. Step 6: Final answer
    x = 14,597.64

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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.