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Finding the Fourth Proportional to 14,698, 20,284.52 and 8,075.28

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Solution

The fourth proportional to 14,698, 20,284.52 and 8,075.28 is: 11,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 20,284.52 = 8,075.28 : x
  2. Step 2: Convert to fraction form
    14,698/20,284.52 = 8,075.28/x
  3. Step 3: Cross multiply
    14,698x = 20,284.52 × 8,075.28
  4. Step 4: Simplify right side
    14,698x = 163,803,178.67
  5. Step 5: Solve for x
    x = 163,803,178.67/14,698
  6. Step 6: Final answer
    x = 11,144.59

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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.