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Finding the Fourth Proportional to 2,904.58, 4,007.28 and 1,784.80

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Solution

The fourth proportional to 2,904.58, 4,007.28 and 1,784.80 is: 2,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.58 : 4,007.28 = 1,784.80 : x
  2. Step 2: Convert to fraction form
    2,904.58/4,007.28 = 1,784.80/x
  3. Step 3: Cross multiply
    2,904.58x = 4,007.28 × 1,784.80
  4. Step 4: Simplify right side
    2,904.58x = 7,152,193.34
  5. Step 5: Solve for x
    x = 7,152,193.34/2,904.58
  6. Step 6: Final answer
    x = 2,462.38

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1.5x scale

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.