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Finding the Fourth Proportional to 1,407.17, 1,940.15 and 1,075.07

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Solution

The fourth proportional to 1,407.17, 1,940.15 and 1,075.07 is: 1,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.17 : 1,940.15 = 1,075.07 : x
  2. Step 2: Convert to fraction form
    1,407.17/1,940.15 = 1,075.07/x
  3. Step 3: Cross multiply
    1,407.17x = 1,940.15 × 1,075.07
  4. Step 4: Simplify right side
    1,407.17x = 2,085,804.60
  5. Step 5: Solve for x
    x = 2,085,804.60/1,407.17
  6. Step 6: Final answer
    x = 1,482.27

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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.