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Finding the Fourth Proportional to 3,465, 5,197.50 and 1,033

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Solution

The fourth proportional to 3,465, 5,197.50 and 1,033 is: 1,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 5,197.50 = 1,033 : x
  2. Step 2: Convert to fraction form
    3,465/5,197.50 = 1,033/x
  3. Step 3: Cross multiply
    3,465x = 5,197.50 × 1,033
  4. Step 4: Simplify right side
    3,465x = 5,369,017.50
  5. Step 5: Solve for x
    x = 5,369,017.50/3,465
  6. Step 6: Final answer
    x = 1,549.50

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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.