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Finding the Fourth Proportional to 5,600.60, 8,400.90 and 1,705

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Solution

The fourth proportional to 5,600.60, 8,400.90 and 1,705 is: 2,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.60 : 8,400.90 = 1,705 : x
  2. Step 2: Convert to fraction form
    5,600.60/8,400.90 = 1,705/x
  3. Step 3: Cross multiply
    5,600.60x = 8,400.90 × 1,705
  4. Step 4: Simplify right side
    5,600.60x = 14,323,534.50
  5. Step 5: Solve for x
    x = 14,323,534.50/5,600.60
  6. Step 6: Final answer
    x = 2,557.50

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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.