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Finding the Fourth Proportional to 2,894.05, 4,341.06 and 702.76

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Solution

The fourth proportional to 2,894.05, 4,341.06 and 702.76 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.05 : 4,341.06 = 702.76 : x
  2. Step 2: Convert to fraction form
    2,894.05/4,341.06 = 702.76/x
  3. Step 3: Cross multiply
    2,894.05x = 4,341.06 × 702.76
  4. Step 4: Simplify right side
    2,894.05x = 3,050,719.81
  5. Step 5: Solve for x
    x = 3,050,719.81/2,894.05
  6. Step 6: Final answer
    x = 1,054.14

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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.