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Finding the Fourth Proportional to 15,754.03, 21,738.59 and 9,038.77

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Solution

The fourth proportional to 15,754.03, 21,738.59 and 9,038.77 is: 12,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.03 : 21,738.59 = 9,038.77 : x
  2. Step 2: Convert to fraction form
    15,754.03/21,738.59 = 9,038.77/x
  3. Step 3: Cross multiply
    15,754.03x = 21,738.59 × 9,038.77
  4. Step 4: Simplify right side
    15,754.03x = 196,490,069.94
  5. Step 5: Solve for x
    x = 196,490,069.94/15,754.03
  6. Step 6: Final answer
    x = 12,472.37

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1.5x scale

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.