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Finding the Fourth Proportional to 14,670, 20,239.74 and 8,703.54

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Solution

The fourth proportional to 14,670, 20,239.74 and 8,703.54 is: 12,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 20,239.74 = 8,703.54 : x
  2. Step 2: Convert to fraction form
    14,670/20,239.74 = 8,703.54/x
  3. Step 3: Cross multiply
    14,670x = 20,239.74 × 8,703.54
  4. Step 4: Simplify right side
    14,670x = 176,157,386.68
  5. Step 5: Solve for x
    x = 176,157,386.68/14,670
  6. Step 6: Final answer
    x = 12,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.