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Finding the Fourth Proportional to 5,307.59, 7,961.79 and 1,610.12

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Solution

The fourth proportional to 5,307.59, 7,961.79 and 1,610.12 is: 2,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.59 : 7,961.79 = 1,610.12 : x
  2. Step 2: Convert to fraction form
    5,307.59/7,961.79 = 1,610.12/x
  3. Step 3: Cross multiply
    5,307.59x = 7,961.79 × 1,610.12
  4. Step 4: Simplify right side
    5,307.59x = 12,819,437.31
  5. Step 5: Solve for x
    x = 12,819,437.31/5,307.59
  6. Step 6: Final answer
    x = 2,415.30

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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.