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Finding the Fourth Proportional to 19,315.12, 28,978.52 and 8,075.92

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Solution

The fourth proportional to 19,315.12, 28,978.52 and 8,075.92 is: 12,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,315.12 : 28,978.52 = 8,075.92 : x
  2. Step 2: Convert to fraction form
    19,315.12/28,978.52 = 8,075.92/x
  3. Step 3: Cross multiply
    19,315.12x = 28,978.52 × 8,075.92
  4. Step 4: Simplify right side
    19,315.12x = 234,028,209.24
  5. Step 5: Solve for x
    x = 234,028,209.24/19,315.12
  6. Step 6: Final answer
    x = 12,116.32

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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.