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Finding the Fourth Proportional to 19,258, 26,576.08 and 10,426

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Solution

The fourth proportional to 19,258, 26,576.08 and 10,426 is: 14,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 26,576.08 = 10,426 : x
  2. Step 2: Convert to fraction form
    19,258/26,576.08 = 10,426/x
  3. Step 3: Cross multiply
    19,258x = 26,576.08 × 10,426
  4. Step 4: Simplify right side
    19,258x = 277,082,210.08
  5. Step 5: Solve for x
    x = 277,082,210.08/19,258
  6. Step 6: Final answer
    x = 14,387.90

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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.