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Finding the Fourth Proportional to 4,877, 7,316.40 and 1,955.60

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Solution

The fourth proportional to 4,877, 7,316.40 and 1,955.60 is: 2,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877 : 7,316.40 = 1,955.60 : x
  2. Step 2: Convert to fraction form
    4,877/7,316.40 = 1,955.60/x
  3. Step 3: Cross multiply
    4,877x = 7,316.40 × 1,955.60
  4. Step 4: Simplify right side
    4,877x = 14,307,951.84
  5. Step 5: Solve for x
    x = 14,307,951.84/4,877
  6. Step 6: Final answer
    x = 2,933.76

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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.