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Finding the Fourth Proportional to 8,970.40, 13,447.32 and 4,813.32

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Solution

The fourth proportional to 8,970.40, 13,447.32 and 4,813.32 is: 7,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.40 : 13,447.32 = 4,813.32 : x
  2. Step 2: Convert to fraction form
    8,970.40/13,447.32 = 4,813.32/x
  3. Step 3: Cross multiply
    8,970.40x = 13,447.32 × 4,813.32
  4. Step 4: Simplify right side
    8,970.40x = 64,726,254.30
  5. Step 5: Solve for x
    x = 64,726,254.30/8,970.40
  6. Step 6: Final answer
    x = 7,215.54

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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.