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Finding the Fourth Proportional to 3,507, 5,259.24 and 1,558.68

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Solution

The fourth proportional to 3,507, 5,259.24 and 1,558.68 is: 2,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507 : 5,259.24 = 1,558.68 : x
  2. Step 2: Convert to fraction form
    3,507/5,259.24 = 1,558.68/x
  3. Step 3: Cross multiply
    3,507x = 5,259.24 × 1,558.68
  4. Step 4: Simplify right side
    3,507x = 8,197,472.20
  5. Step 5: Solve for x
    x = 8,197,472.20/3,507
  6. Step 6: Final answer
    x = 2,337.46

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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.