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Finding the Fourth Proportional to 12,711.90, 19,061.08 and 7,457.16

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Solution

The fourth proportional to 12,711.90, 19,061.08 and 7,457.16 is: 11,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.90 : 19,061.08 = 7,457.16 : x
  2. Step 2: Convert to fraction form
    12,711.90/19,061.08 = 7,457.16/x
  3. Step 3: Cross multiply
    12,711.90x = 19,061.08 × 7,457.16
  4. Step 4: Simplify right side
    12,711.90x = 142,141,523.33
  5. Step 5: Solve for x
    x = 142,141,523.33/12,711.90
  6. Step 6: Final answer
    x = 11,181.77

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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.