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Finding the Fourth Proportional to 2,973.88, 4,455.06 and 1,603

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Solution

The fourth proportional to 2,973.88, 4,455.06 and 1,603 is: 2,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.88 : 4,455.06 = 1,603 : x
  2. Step 2: Convert to fraction form
    2,973.88/4,455.06 = 1,603/x
  3. Step 3: Cross multiply
    2,973.88x = 4,455.06 × 1,603
  4. Step 4: Simplify right side
    2,973.88x = 7,141,461.18
  5. Step 5: Solve for x
    x = 7,141,461.18/2,973.88
  6. Step 6: Final answer
    x = 2,401.40

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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.