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Finding the Fourth Proportional to 4,925, 7,386.60 and 1,637.72

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Solution

The fourth proportional to 4,925, 7,386.60 and 1,637.72 is: 2,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925 : 7,386.60 = 1,637.72 : x
  2. Step 2: Convert to fraction form
    4,925/7,386.60 = 1,637.72/x
  3. Step 3: Cross multiply
    4,925x = 7,386.60 × 1,637.72
  4. Step 4: Simplify right side
    4,925x = 12,097,182.55
  5. Step 5: Solve for x
    x = 12,097,182.55/4,925
  6. Step 6: Final answer
    x = 2,456.28

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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.