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Finding the Fourth Proportional to 6,307.08, 9,459.54 and 1,689

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Solution

The fourth proportional to 6,307.08, 9,459.54 and 1,689 is: 2,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.08 : 9,459.54 = 1,689 : x
  2. Step 2: Convert to fraction form
    6,307.08/9,459.54 = 1,689/x
  3. Step 3: Cross multiply
    6,307.08x = 9,459.54 × 1,689
  4. Step 4: Simplify right side
    6,307.08x = 15,977,163.06
  5. Step 5: Solve for x
    x = 15,977,163.06/6,307.08
  6. Step 6: Final answer
    x = 2,533.21

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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.