Home / 1,407.84-2,110.32-914.55

Finding the Fourth Proportional to 1,407.84, 2,110.32 and 914.55

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Solution

The fourth proportional to 1,407.84, 2,110.32 and 914.55 is: 1,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.84 : 2,110.32 = 914.55 : x
  2. Step 2: Convert to fraction form
    1,407.84/2,110.32 = 914.55/x
  3. Step 3: Cross multiply
    1,407.84x = 2,110.32 × 914.55
  4. Step 4: Simplify right side
    1,407.84x = 1,929,993.16
  5. Step 5: Solve for x
    x = 1,929,993.16/1,407.84
  6. Step 6: Final answer
    x = 1,370.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.