Home / 1,407.16-2,109.93-886.33

Finding the Fourth Proportional to 1,407.16, 2,109.93 and 886.33

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Solution

The fourth proportional to 1,407.16, 2,109.93 and 886.33 is: 1,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.16 : 2,109.93 = 886.33 : x
  2. Step 2: Convert to fraction form
    1,407.16/2,109.93 = 886.33/x
  3. Step 3: Cross multiply
    1,407.16x = 2,109.93 × 886.33
  4. Step 4: Simplify right side
    1,407.16x = 1,870,094.26
  5. Step 5: Solve for x
    x = 1,870,094.26/1,407.16
  6. Step 6: Final answer
    x = 1,328.98

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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.