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Finding the Fourth Proportional to 8,703.56, 13,056.54 and 3,509

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Solution

The fourth proportional to 8,703.56, 13,056.54 and 3,509 is: 5,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.56 : 13,056.54 = 3,509 : x
  2. Step 2: Convert to fraction form
    8,703.56/13,056.54 = 3,509/x
  3. Step 3: Cross multiply
    8,703.56x = 13,056.54 × 3,509
  4. Step 4: Simplify right side
    8,703.56x = 45,815,398.86
  5. Step 5: Solve for x
    x = 45,815,398.86/8,703.56
  6. Step 6: Final answer
    x = 5,263.98

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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.