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Finding the Fourth Proportional to 14,352.49, 19,804.04 and 7,978.91

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Solution

The fourth proportional to 14,352.49, 19,804.04 and 7,978.91 is: 11,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.49 : 19,804.04 = 7,978.91 : x
  2. Step 2: Convert to fraction form
    14,352.49/19,804.04 = 7,978.91/x
  3. Step 3: Cross multiply
    14,352.49x = 19,804.04 × 7,978.91
  4. Step 4: Simplify right side
    14,352.49x = 158,014,588.68
  5. Step 5: Solve for x
    x = 158,014,588.68/14,352.49
  6. Step 6: Final answer
    x = 11,009.56

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1.5x scale

Why These Related Problems?

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