Home / 1,514.19-2,089.07-946.64

Finding the Fourth Proportional to 1,514.19, 2,089.07 and 946.64

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Solution

The fourth proportional to 1,514.19, 2,089.07 and 946.64 is: 1,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.19 : 2,089.07 = 946.64 : x
  2. Step 2: Convert to fraction form
    1,514.19/2,089.07 = 946.64/x
  3. Step 3: Cross multiply
    1,514.19x = 2,089.07 × 946.64
  4. Step 4: Simplify right side
    1,514.19x = 1,977,597.71
  5. Step 5: Solve for x
    x = 1,977,597.71/1,514.19
  6. Step 6: Final answer
    x = 1,306.04

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1.5x scale

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.