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Finding the Fourth Proportional to 19,457, 29,190.10 and 6,309.34

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Solution

The fourth proportional to 19,457, 29,190.10 and 6,309.34 is: 9,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457 : 29,190.10 = 6,309.34 : x
  2. Step 2: Convert to fraction form
    19,457/29,190.10 = 6,309.34/x
  3. Step 3: Cross multiply
    19,457x = 29,190.10 × 6,309.34
  4. Step 4: Simplify right side
    19,457x = 184,170,265.53
  5. Step 5: Solve for x
    x = 184,170,265.53/19,457
  6. Step 6: Final answer
    x = 9,465.50

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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.