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Finding the Fourth Proportional to 26,653, 36,784.38 and 15,475

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Solution

The fourth proportional to 26,653, 36,784.38 and 15,475 is: 21,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,653 : 36,784.38 = 15,475 : x
  2. Step 2: Convert to fraction form
    26,653/36,784.38 = 15,475/x
  3. Step 3: Cross multiply
    26,653x = 36,784.38 × 15,475
  4. Step 4: Simplify right side
    26,653x = 569,238,280.50
  5. Step 5: Solve for x
    x = 569,238,280.50/26,653
  6. Step 6: Final answer
    x = 21,357.38

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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.