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Finding the Fourth Proportional to 5,209.51, 7,813.46 and 1,699.51

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Solution

The fourth proportional to 5,209.51, 7,813.46 and 1,699.51 is: 2,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.51 : 7,813.46 = 1,699.51 : x
  2. Step 2: Convert to fraction form
    5,209.51/7,813.46 = 1,699.51/x
  3. Step 3: Cross multiply
    5,209.51x = 7,813.46 × 1,699.51
  4. Step 4: Simplify right side
    5,209.51x = 13,279,053.40
  5. Step 5: Solve for x
    x = 13,279,053.40/5,209.51
  6. Step 6: Final answer
    x = 2,549.00

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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.