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Finding the Fourth Proportional to 3,604, 4,973.52 and 1,948

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Solution

The fourth proportional to 3,604, 4,973.52 and 1,948 is: 2,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604 : 4,973.52 = 1,948 : x
  2. Step 2: Convert to fraction form
    3,604/4,973.52 = 1,948/x
  3. Step 3: Cross multiply
    3,604x = 4,973.52 × 1,948
  4. Step 4: Simplify right side
    3,604x = 9,688,416.96
  5. Step 5: Solve for x
    x = 9,688,416.96/3,604
  6. Step 6: Final answer
    x = 2,688.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.