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Finding the Fourth Proportional to 1,698.93, 2,545.16 and 1,210.50

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Solution

The fourth proportional to 1,698.93, 2,545.16 and 1,210.50 is: 1,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.93 : 2,545.16 = 1,210.50 : x
  2. Step 2: Convert to fraction form
    1,698.93/2,545.16 = 1,210.50/x
  3. Step 3: Cross multiply
    1,698.93x = 2,545.16 × 1,210.50
  4. Step 4: Simplify right side
    1,698.93x = 3,080,910.13
  5. Step 5: Solve for x
    x = 3,080,910.13/1,698.93
  6. Step 6: Final answer
    x = 1,813.44

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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.