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Finding the Fourth Proportional to 11,202.45, 16,806.71 and 9,978.40

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Solution

The fourth proportional to 11,202.45, 16,806.71 and 9,978.40 is: 14,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.45 : 16,806.71 = 9,978.40 : x
  2. Step 2: Convert to fraction form
    11,202.45/16,806.71 = 9,978.40/x
  3. Step 3: Cross multiply
    11,202.45x = 16,806.71 × 9,978.40
  4. Step 4: Simplify right side
    11,202.45x = 167,704,075.06
  5. Step 5: Solve for x
    x = 167,704,075.06/11,202.45
  6. Step 6: Final answer
    x = 14,970.30

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1.5x scale

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.