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Finding the Fourth Proportional to 19,262, 26,581.72 and 10,430

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Solution

The fourth proportional to 19,262, 26,581.72 and 10,430 is: 14,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262 : 26,581.72 = 10,430 : x
  2. Step 2: Convert to fraction form
    19,262/26,581.72 = 10,430/x
  3. Step 3: Cross multiply
    19,262x = 26,581.72 × 10,430
  4. Step 4: Simplify right side
    19,262x = 277,247,339.60
  5. Step 5: Solve for x
    x = 277,247,339.60/19,262
  6. Step 6: Final answer
    x = 14,393.49

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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.