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Finding the Fourth Proportional to 19,846.32, 29,770.16 and 9,980.22

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Solution

The fourth proportional to 19,846.32, 29,770.16 and 9,980.22 is: 14,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.32 : 29,770.16 = 9,980.22 : x
  2. Step 2: Convert to fraction form
    19,846.32/29,770.16 = 9,980.22/x
  3. Step 3: Cross multiply
    19,846.32x = 29,770.16 × 9,980.22
  4. Step 4: Simplify right side
    19,846.32x = 297,112,746.24
  5. Step 5: Solve for x
    x = 297,112,746.24/19,846.32
  6. Step 6: Final answer
    x = 14,970.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.