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Finding the Fourth Proportional to 5,679, 8,518.50 and 1,575

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Solution

The fourth proportional to 5,679, 8,518.50 and 1,575 is: 2,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679 : 8,518.50 = 1,575 : x
  2. Step 2: Convert to fraction form
    5,679/8,518.50 = 1,575/x
  3. Step 3: Cross multiply
    5,679x = 8,518.50 × 1,575
  4. Step 4: Simplify right side
    5,679x = 13,416,637.50
  5. Step 5: Solve for x
    x = 13,416,637.50/5,679
  6. Step 6: Final answer
    x = 2,362.50

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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.