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Finding the Fourth Proportional to 13,319.24, 19,978.88 and 12,507.32

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Solution

The fourth proportional to 13,319.24, 19,978.88 and 12,507.32 is: 18,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.24 : 19,978.88 = 12,507.32 : x
  2. Step 2: Convert to fraction form
    13,319.24/19,978.88 = 12,507.32/x
  3. Step 3: Cross multiply
    13,319.24x = 19,978.88 × 12,507.32
  4. Step 4: Simplify right side
    13,319.24x = 249,882,245.40
  5. Step 5: Solve for x
    x = 249,882,245.40/13,319.24
  6. Step 6: Final answer
    x = 18,761.00

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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.