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Finding the Fourth Proportional to 1,297.50, 1,955.99 and 1,278.06

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Solution

The fourth proportional to 1,297.50, 1,955.99 and 1,278.06 is: 1,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.50 : 1,955.99 = 1,278.06 : x
  2. Step 2: Convert to fraction form
    1,297.50/1,955.99 = 1,278.06/x
  3. Step 3: Cross multiply
    1,297.50x = 1,955.99 × 1,278.06
  4. Step 4: Simplify right side
    1,297.50x = 2,499,866.19
  5. Step 5: Solve for x
    x = 2,499,866.19/1,297.50
  6. Step 6: Final answer
    x = 1,926.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.