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Finding the Fourth Proportional to 14,718.71, 20,312 and 8,004.51

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Solution

The fourth proportional to 14,718.71, 20,312 and 8,004.51 is: 11,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.71 : 20,312 = 8,004.51 : x
  2. Step 2: Convert to fraction form
    14,718.71/20,312 = 8,004.51/x
  3. Step 3: Cross multiply
    14,718.71x = 20,312 × 8,004.51
  4. Step 4: Simplify right side
    14,718.71x = 162,587,607.12
  5. Step 5: Solve for x
    x = 162,587,607.12/14,718.71
  6. Step 6: Final answer
    x = 11,046.32

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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.