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Finding the Fourth Proportional to 1,730.98, 2,592.28 and 1,211.50

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Solution

The fourth proportional to 1,730.98, 2,592.28 and 1,211.50 is: 1,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.98 : 2,592.28 = 1,211.50 : x
  2. Step 2: Convert to fraction form
    1,730.98/2,592.28 = 1,211.50/x
  3. Step 3: Cross multiply
    1,730.98x = 2,592.28 × 1,211.50
  4. Step 4: Simplify right side
    1,730.98x = 3,140,547.22
  5. Step 5: Solve for x
    x = 3,140,547.22/1,730.98
  6. Step 6: Final answer
    x = 1,814.32

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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.