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Finding the Fourth Proportional to 12,957.55, 19,438.79 and 8,971.74

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Solution

The fourth proportional to 12,957.55, 19,438.79 and 8,971.74 is: 13,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.55 : 19,438.79 = 8,971.74 : x
  2. Step 2: Convert to fraction form
    12,957.55/19,438.79 = 8,971.74/x
  3. Step 3: Cross multiply
    12,957.55x = 19,438.79 × 8,971.74
  4. Step 4: Simplify right side
    12,957.55x = 174,399,724.94
  5. Step 5: Solve for x
    x = 174,399,724.94/12,957.55
  6. Step 6: Final answer
    x = 13,459.32

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1.5x scale

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.