Home / 1,547.24-2,135.36-1,075

Finding the Fourth Proportional to 1,547.24, 2,135.36 and 1,075

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Solution

The fourth proportional to 1,547.24, 2,135.36 and 1,075 is: 1,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.24 : 2,135.36 = 1,075 : x
  2. Step 2: Convert to fraction form
    1,547.24/2,135.36 = 1,075/x
  3. Step 3: Cross multiply
    1,547.24x = 2,135.36 × 1,075
  4. Step 4: Simplify right side
    1,547.24x = 2,295,512
  5. Step 5: Solve for x
    x = 2,295,512/1,547.24
  6. Step 6: Final answer
    x = 1,483.62

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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.