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Finding the Fourth Proportional to 8,957.04, 13,419.36 and 8,430

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Solution

The fourth proportional to 8,957.04, 13,419.36 and 8,430 is: 12,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.04 : 13,419.36 = 8,430 : x
  2. Step 2: Convert to fraction form
    8,957.04/13,419.36 = 8,430/x
  3. Step 3: Cross multiply
    8,957.04x = 13,419.36 × 8,430
  4. Step 4: Simplify right side
    8,957.04x = 113,125,204.80
  5. Step 5: Solve for x
    x = 113,125,204.80/8,957.04
  6. Step 6: Final answer
    x = 12,629.75

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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.