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Finding the Fourth Proportional to 19,967.66, 29,942.76 and 7,478.93

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Solution

The fourth proportional to 19,967.66, 29,942.76 and 7,478.93 is: 11,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.66 : 29,942.76 = 7,478.93 : x
  2. Step 2: Convert to fraction form
    19,967.66/29,942.76 = 7,478.93/x
  3. Step 3: Cross multiply
    19,967.66x = 29,942.76 × 7,478.93
  4. Step 4: Simplify right side
    19,967.66x = 223,939,880.90
  5. Step 5: Solve for x
    x = 223,939,880.90/19,967.66
  6. Step 6: Final answer
    x = 11,215.13

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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.