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Finding the Fourth Proportional to 28,457.92, 42,686.74 and 9,738.01

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Solution

The fourth proportional to 28,457.92, 42,686.74 and 9,738.01 is: 14,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,457.92 : 42,686.74 = 9,738.01 : x
  2. Step 2: Convert to fraction form
    28,457.92/42,686.74 = 9,738.01/x
  3. Step 3: Cross multiply
    28,457.92x = 42,686.74 × 9,738.01
  4. Step 4: Simplify right side
    28,457.92x = 415,683,900.99
  5. Step 5: Solve for x
    x = 415,683,900.99/28,457.92
  6. Step 6: Final answer
    x = 14,606.97

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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.