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Finding the Fourth Proportional to 1,749, 2,413.64 and 1,050.24

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Solution

The fourth proportional to 1,749, 2,413.64 and 1,050.24 is: 1,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749 : 2,413.64 = 1,050.24 : x
  2. Step 2: Convert to fraction form
    1,749/2,413.64 = 1,050.24/x
  3. Step 3: Cross multiply
    1,749x = 2,413.64 × 1,050.24
  4. Step 4: Simplify right side
    1,749x = 2,534,901.27
  5. Step 5: Solve for x
    x = 2,534,901.27/1,749
  6. Step 6: Final answer
    x = 1,449.34

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1.5x scale

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.