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Finding the Fourth Proportional to 2,355, 3,250.09 and 1,307.13

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Solution

The fourth proportional to 2,355, 3,250.09 and 1,307.13 is: 1,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355 : 3,250.09 = 1,307.13 : x
  2. Step 2: Convert to fraction form
    2,355/3,250.09 = 1,307.13/x
  3. Step 3: Cross multiply
    2,355x = 3,250.09 × 1,307.13
  4. Step 4: Simplify right side
    2,355x = 4,248,290.14
  5. Step 5: Solve for x
    x = 4,248,290.14/2,355
  6. Step 6: Final answer
    x = 1,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.