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Finding the Fourth Proportional to 40,854.72, 61,280.64 and 13,152

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Solution

The fourth proportional to 40,854.72, 61,280.64 and 13,152 is: 19,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,854.72 : 61,280.64 = 13,152 : x
  2. Step 2: Convert to fraction form
    40,854.72/61,280.64 = 13,152/x
  3. Step 3: Cross multiply
    40,854.72x = 61,280.64 × 13,152
  4. Step 4: Simplify right side
    40,854.72x = 805,962,977.28
  5. Step 5: Solve for x
    x = 805,962,977.28/40,854.72
  6. Step 6: Final answer
    x = 19,727.54

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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.