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Finding the Fourth Proportional to 13,907.85, 19,192.71 and 7,534.30

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Solution

The fourth proportional to 13,907.85, 19,192.71 and 7,534.30 is: 10,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.85 : 19,192.71 = 7,534.30 : x
  2. Step 2: Convert to fraction form
    13,907.85/19,192.71 = 7,534.30/x
  3. Step 3: Cross multiply
    13,907.85x = 19,192.71 × 7,534.30
  4. Step 4: Simplify right side
    13,907.85x = 144,603,501.32
  5. Step 5: Solve for x
    x = 144,603,501.32/13,907.85
  6. Step 6: Final answer
    x = 10,397.26

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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.