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Finding the Fourth Proportional to 13,822.68, 19,075.68 and 8,445.99

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Solution

The fourth proportional to 13,822.68, 19,075.68 and 8,445.99 is: 11,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.68 : 19,075.68 = 8,445.99 : x
  2. Step 2: Convert to fraction form
    13,822.68/19,075.68 = 8,445.99/x
  3. Step 3: Cross multiply
    13,822.68x = 19,075.68 × 8,445.99
  4. Step 4: Simplify right side
    13,822.68x = 161,112,907.14
  5. Step 5: Solve for x
    x = 161,112,907.14/13,822.68
  6. Step 6: Final answer
    x = 11,655.70

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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.