Home / 1,677.84-2,516.76-1,312.96

Finding the Fourth Proportional to 1,677.84, 2,516.76 and 1,312.96

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Solution

The fourth proportional to 1,677.84, 2,516.76 and 1,312.96 is: 1,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.84 : 2,516.76 = 1,312.96 : x
  2. Step 2: Convert to fraction form
    1,677.84/2,516.76 = 1,312.96/x
  3. Step 3: Cross multiply
    1,677.84x = 2,516.76 × 1,312.96
  4. Step 4: Simplify right side
    1,677.84x = 3,304,405.21
  5. Step 5: Solve for x
    x = 3,304,405.21/1,677.84
  6. Step 6: Final answer
    x = 1,969.44

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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.