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Finding the Fourth Proportional to 8,955.40, 13,404.32 and 4,784.98

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Solution

The fourth proportional to 8,955.40, 13,404.32 and 4,784.98 is: 7,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.40 : 13,404.32 = 4,784.98 : x
  2. Step 2: Convert to fraction form
    8,955.40/13,404.32 = 4,784.98/x
  3. Step 3: Cross multiply
    8,955.40x = 13,404.32 × 4,784.98
  4. Step 4: Simplify right side
    8,955.40x = 64,139,403.11
  5. Step 5: Solve for x
    x = 64,139,403.11/8,955.40
  6. Step 6: Final answer
    x = 7,162.09

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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.