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Finding the Fourth Proportional to 12,970.96, 17,899.32 and 7,305.76

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Solution

The fourth proportional to 12,970.96, 17,899.32 and 7,305.76 is: 10,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.96 : 17,899.32 = 7,305.76 : x
  2. Step 2: Convert to fraction form
    12,970.96/17,899.32 = 7,305.76/x
  3. Step 3: Cross multiply
    12,970.96x = 17,899.32 × 7,305.76
  4. Step 4: Simplify right side
    12,970.96x = 130,768,136.08
  5. Step 5: Solve for x
    x = 130,768,136.08/12,970.96
  6. Step 6: Final answer
    x = 10,081.61

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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.