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Finding the Fourth Proportional to 13,074.84, 19,614.42 and 7,807.32

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Solution

The fourth proportional to 13,074.84, 19,614.42 and 7,807.32 is: 11,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.84 : 19,614.42 = 7,807.32 : x
  2. Step 2: Convert to fraction form
    13,074.84/19,614.42 = 7,807.32/x
  3. Step 3: Cross multiply
    13,074.84x = 19,614.42 × 7,807.32
  4. Step 4: Simplify right side
    13,074.84x = 153,136,053.55
  5. Step 5: Solve for x
    x = 153,136,053.55/13,074.84
  6. Step 6: Final answer
    x = 11,712.27

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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.