Home / 1,547.43-2,135.67-1,075.06

Finding the Fourth Proportional to 1,547.43, 2,135.67 and 1,075.06

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Solution

The fourth proportional to 1,547.43, 2,135.67 and 1,075.06 is: 1,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.43 : 2,135.67 = 1,075.06 : x
  2. Step 2: Convert to fraction form
    1,547.43/2,135.67 = 1,075.06/x
  3. Step 3: Cross multiply
    1,547.43x = 2,135.67 × 1,075.06
  4. Step 4: Simplify right side
    1,547.43x = 2,295,978.03
  5. Step 5: Solve for x
    x = 2,295,978.03/1,547.43
  6. Step 6: Final answer
    x = 1,483.74

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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.