Home / 1,416.30-1,954.98-975.66

Finding the Fourth Proportional to 1,416.30, 1,954.98 and 975.66

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Solution

The fourth proportional to 1,416.30, 1,954.98 and 975.66 is: 1,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.30 : 1,954.98 = 975.66 : x
  2. Step 2: Convert to fraction form
    1,416.30/1,954.98 = 975.66/x
  3. Step 3: Cross multiply
    1,416.30x = 1,954.98 × 975.66
  4. Step 4: Simplify right side
    1,416.30x = 1,907,395.79
  5. Step 5: Solve for x
    x = 1,907,395.79/1,416.30
  6. Step 6: Final answer
    x = 1,346.75

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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.