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Finding the Fourth Proportional to 13,810.47, 19,058.67 and 7,522.86

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Solution

The fourth proportional to 13,810.47, 19,058.67 and 7,522.86 is: 10,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.47 : 19,058.67 = 7,522.86 : x
  2. Step 2: Convert to fraction form
    13,810.47/19,058.67 = 7,522.86/x
  3. Step 3: Cross multiply
    13,810.47x = 19,058.67 × 7,522.86
  4. Step 4: Simplify right side
    13,810.47x = 143,375,706.20
  5. Step 5: Solve for x
    x = 143,375,706.20/13,810.47
  6. Step 6: Final answer
    x = 10,381.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.