Home / 1,546.98-2,133.23-1,075.40

Finding the Fourth Proportional to 1,546.98, 2,133.23 and 1,075.40

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Solution

The fourth proportional to 1,546.98, 2,133.23 and 1,075.40 is: 1,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.98 : 2,133.23 = 1,075.40 : x
  2. Step 2: Convert to fraction form
    1,546.98/2,133.23 = 1,075.40/x
  3. Step 3: Cross multiply
    1,546.98x = 2,133.23 × 1,075.40
  4. Step 4: Simplify right side
    1,546.98x = 2,294,070.17
  5. Step 5: Solve for x
    x = 2,294,070.17/1,546.98
  6. Step 6: Final answer
    x = 1,482.94

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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.