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Finding the Fourth Proportional to 12,885.76, 19,323.64 and 4,564.23

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Solution

The fourth proportional to 12,885.76, 19,323.64 and 4,564.23 is: 6,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.76 : 19,323.64 = 4,564.23 : x
  2. Step 2: Convert to fraction form
    12,885.76/19,323.64 = 4,564.23/x
  3. Step 3: Cross multiply
    12,885.76x = 19,323.64 × 4,564.23
  4. Step 4: Simplify right side
    12,885.76x = 88,197,537.40
  5. Step 5: Solve for x
    x = 88,197,537.40/12,885.76
  6. Step 6: Final answer
    x = 6,844.57

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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.