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Finding the Fourth Proportional to 19,783.84, 29,668.74 and 7,301.20

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Solution

The fourth proportional to 19,783.84, 29,668.74 and 7,301.20 is: 10,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.84 : 29,668.74 = 7,301.20 : x
  2. Step 2: Convert to fraction form
    19,783.84/29,668.74 = 7,301.20/x
  3. Step 3: Cross multiply
    19,783.84x = 29,668.74 × 7,301.20
  4. Step 4: Simplify right side
    19,783.84x = 216,617,404.49
  5. Step 5: Solve for x
    x = 216,617,404.49/19,783.84
  6. Step 6: Final answer
    x = 10,949.21

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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.