Home / 1,300.24-1,792.38-1,122.40

Finding the Fourth Proportional to 1,300.24, 1,792.38 and 1,122.40

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Solution

The fourth proportional to 1,300.24, 1,792.38 and 1,122.40 is: 1,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.24 : 1,792.38 = 1,122.40 : x
  2. Step 2: Convert to fraction form
    1,300.24/1,792.38 = 1,122.40/x
  3. Step 3: Cross multiply
    1,300.24x = 1,792.38 × 1,122.40
  4. Step 4: Simplify right side
    1,300.24x = 2,011,767.31
  5. Step 5: Solve for x
    x = 2,011,767.31/1,300.24
  6. Step 6: Final answer
    x = 1,547.23

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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.