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Finding the Fourth Proportional to 19,570.09, 29,360 and 5,719.09

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Solution

The fourth proportional to 19,570.09, 29,360 and 5,719.09 is: 8,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.09 : 29,360 = 5,719.09 : x
  2. Step 2: Convert to fraction form
    19,570.09/29,360 = 5,719.09/x
  3. Step 3: Cross multiply
    19,570.09x = 29,360 × 5,719.09
  4. Step 4: Simplify right side
    19,570.09x = 167,912,482.40
  5. Step 5: Solve for x
    x = 167,912,482.40/19,570.09
  6. Step 6: Final answer
    x = 8,580.06

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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.