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Finding the Fourth Proportional to 10,075.14, 15,111 and 2,678.99

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Solution

The fourth proportional to 10,075.14, 15,111 and 2,678.99 is: 4,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.14 : 15,111 = 2,678.99 : x
  2. Step 2: Convert to fraction form
    10,075.14/15,111 = 2,678.99/x
  3. Step 3: Cross multiply
    10,075.14x = 15,111 × 2,678.99
  4. Step 4: Simplify right side
    10,075.14x = 40,482,142.34
  5. Step 5: Solve for x
    x = 40,482,142.34/10,075.14
  6. Step 6: Final answer
    x = 4,018.02

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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.