Home / 1,516.74-2,275.11-421.10

Finding the Fourth Proportional to 1,516.74, 2,275.11 and 421.10

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Solution

The fourth proportional to 1,516.74, 2,275.11 and 421.10 is: 631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.74 : 2,275.11 = 421.10 : x
  2. Step 2: Convert to fraction form
    1,516.74/2,275.11 = 421.10/x
  3. Step 3: Cross multiply
    1,516.74x = 2,275.11 × 421.10
  4. Step 4: Simplify right side
    1,516.74x = 958,053.46
  5. Step 5: Solve for x
    x = 958,053.46/1,516.74
  6. Step 6: Final answer
    x = 631.65

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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.