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Finding the Fourth Proportional to 19,385, 26,751.30 and 10,553

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Solution

The fourth proportional to 19,385, 26,751.30 and 10,553 is: 14,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385 : 26,751.30 = 10,553 : x
  2. Step 2: Convert to fraction form
    19,385/26,751.30 = 10,553/x
  3. Step 3: Cross multiply
    19,385x = 26,751.30 × 10,553
  4. Step 4: Simplify right side
    19,385x = 282,306,468.90
  5. Step 5: Solve for x
    x = 282,306,468.90/19,385
  6. Step 6: Final answer
    x = 14,563.14

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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.