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Finding the Fourth Proportional to 12,688.92, 17,511.48 and 7,023.72

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Solution

The fourth proportional to 12,688.92, 17,511.48 and 7,023.72 is: 9,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.92 : 17,511.48 = 7,023.72 : x
  2. Step 2: Convert to fraction form
    12,688.92/17,511.48 = 7,023.72/x
  3. Step 3: Cross multiply
    12,688.92x = 17,511.48 × 7,023.72
  4. Step 4: Simplify right side
    12,688.92x = 122,995,732.31
  5. Step 5: Solve for x
    x = 122,995,732.31/12,688.92
  6. Step 6: Final answer
    x = 9,693.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.