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Finding the Fourth Proportional to 12,956.16, 17,876.58 and 7,648.11

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Solution

The fourth proportional to 12,956.16, 17,876.58 and 7,648.11 is: 10,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.16 : 17,876.58 = 7,648.11 : x
  2. Step 2: Convert to fraction form
    12,956.16/17,876.58 = 7,648.11/x
  3. Step 3: Cross multiply
    12,956.16x = 17,876.58 × 7,648.11
  4. Step 4: Simplify right side
    12,956.16x = 136,722,050.26
  5. Step 5: Solve for x
    x = 136,722,050.26/12,956.16
  6. Step 6: Final answer
    x = 10,552.67

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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.