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Finding the Fourth Proportional to 2,475, 3,415.74 and 1,543.32

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Solution

The fourth proportional to 2,475, 3,415.74 and 1,543.32 is: 2,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475 : 3,415.74 = 1,543.32 : x
  2. Step 2: Convert to fraction form
    2,475/3,415.74 = 1,543.32/x
  3. Step 3: Cross multiply
    2,475x = 3,415.74 × 1,543.32
  4. Step 4: Simplify right side
    2,475x = 5,271,579.86
  5. Step 5: Solve for x
    x = 5,271,579.86/2,475
  6. Step 6: Final answer
    x = 2,129.93

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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.