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Finding the Fourth Proportional to 1,740.64, 2,597.46 and 1,556

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Solution

The fourth proportional to 1,740.64, 2,597.46 and 1,556 is: 2,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.64 : 2,597.46 = 1,556 : x
  2. Step 2: Convert to fraction form
    1,740.64/2,597.46 = 1,556/x
  3. Step 3: Cross multiply
    1,740.64x = 2,597.46 × 1,556
  4. Step 4: Simplify right side
    1,740.64x = 4,041,647.76
  5. Step 5: Solve for x
    x = 4,041,647.76/1,740.64
  6. Step 6: Final answer
    x = 2,321.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.