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Finding the Fourth Proportional to 3,068.49, 4,603.47 and 988.70

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Solution

The fourth proportional to 3,068.49, 4,603.47 and 988.70 is: 1,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.49 : 4,603.47 = 988.70 : x
  2. Step 2: Convert to fraction form
    3,068.49/4,603.47 = 988.70/x
  3. Step 3: Cross multiply
    3,068.49x = 4,603.47 × 988.70
  4. Step 4: Simplify right side
    3,068.49x = 4,551,427.77
  5. Step 5: Solve for x
    x = 4,551,427.77/3,068.49
  6. Step 6: Final answer
    x = 1,483.28

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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.