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Finding the Fourth Proportional to 12,693.64, 19,037.10 and 3,457.48

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Solution

The fourth proportional to 12,693.64, 19,037.10 and 3,457.48 is: 5,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.64 : 19,037.10 = 3,457.48 : x
  2. Step 2: Convert to fraction form
    12,693.64/19,037.10 = 3,457.48/x
  3. Step 3: Cross multiply
    12,693.64x = 19,037.10 × 3,457.48
  4. Step 4: Simplify right side
    12,693.64x = 65,820,392.51
  5. Step 5: Solve for x
    x = 65,820,392.51/12,693.64
  6. Step 6: Final answer
    x = 5,185.30

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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.