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Finding the Fourth Proportional to 8,405.48, 12,595.26 and 5,321

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Solution

The fourth proportional to 8,405.48, 12,595.26 and 5,321 is: 7,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.48 : 12,595.26 = 5,321 : x
  2. Step 2: Convert to fraction form
    8,405.48/12,595.26 = 5,321/x
  3. Step 3: Cross multiply
    8,405.48x = 12,595.26 × 5,321
  4. Step 4: Simplify right side
    8,405.48x = 67,019,378.46
  5. Step 5: Solve for x
    x = 67,019,378.46/8,405.48
  6. Step 6: Final answer
    x = 7,973.30

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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.