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Finding the Fourth Proportional to 14,738, 20,355.72 and 9,761.36

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Solution

The fourth proportional to 14,738, 20,355.72 and 9,761.36 is: 13,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738 : 20,355.72 = 9,761.36 : x
  2. Step 2: Convert to fraction form
    14,738/20,355.72 = 9,761.36/x
  3. Step 3: Cross multiply
    14,738x = 20,355.72 × 9,761.36
  4. Step 4: Simplify right side
    14,738x = 198,699,510.98
  5. Step 5: Solve for x
    x = 198,699,510.98/14,738
  6. Step 6: Final answer
    x = 13,482.12

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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.