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Finding the Fourth Proportional to 3,005.32, 4,507.98 and 1,465

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Solution

The fourth proportional to 3,005.32, 4,507.98 and 1,465 is: 2,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.32 : 4,507.98 = 1,465 : x
  2. Step 2: Convert to fraction form
    3,005.32/4,507.98 = 1,465/x
  3. Step 3: Cross multiply
    3,005.32x = 4,507.98 × 1,465
  4. Step 4: Simplify right side
    3,005.32x = 6,604,190.70
  5. Step 5: Solve for x
    x = 6,604,190.70/3,005.32
  6. Step 6: Final answer
    x = 2,197.50

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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.