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Finding the Fourth Proportional to 3,670.52, 5,505.76 and 897.20

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Solution

The fourth proportional to 3,670.52, 5,505.76 and 897.20 is: 1,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.52 : 5,505.76 = 897.20 : x
  2. Step 2: Convert to fraction form
    3,670.52/5,505.76 = 897.20/x
  3. Step 3: Cross multiply
    3,670.52x = 5,505.76 × 897.20
  4. Step 4: Simplify right side
    3,670.52x = 4,939,779.39
  5. Step 5: Solve for x
    x = 4,939,779.39/3,670.52
  6. Step 6: Final answer
    x = 1,345.80

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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.