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Finding the Fourth Proportional to 2,365.76, 3,548.78 and 904.80

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Solution

The fourth proportional to 2,365.76, 3,548.78 and 904.80 is: 1,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.76 : 3,548.78 = 904.80 : x
  2. Step 2: Convert to fraction form
    2,365.76/3,548.78 = 904.80/x
  3. Step 3: Cross multiply
    2,365.76x = 3,548.78 × 904.80
  4. Step 4: Simplify right side
    2,365.76x = 3,210,936.14
  5. Step 5: Solve for x
    x = 3,210,936.14/2,365.76
  6. Step 6: Final answer
    x = 1,357.25

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1.5x scale

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.