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Finding the Fourth Proportional to 2,013.19, 3,019.88 and 714.76

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Solution

The fourth proportional to 2,013.19, 3,019.88 and 714.76 is: 1,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.19 : 3,019.88 = 714.76 : x
  2. Step 2: Convert to fraction form
    2,013.19/3,019.88 = 714.76/x
  3. Step 3: Cross multiply
    2,013.19x = 3,019.88 × 714.76
  4. Step 4: Simplify right side
    2,013.19x = 2,158,483.67
  5. Step 5: Solve for x
    x = 2,158,483.67/2,013.19
  6. Step 6: Final answer
    x = 1,072.17

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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.