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Finding the Fourth Proportional to 14,969.23, 20,656.68 and 8,254.87

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Solution

The fourth proportional to 14,969.23, 20,656.68 and 8,254.87 is: 11,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.23 : 20,656.68 = 8,254.87 : x
  2. Step 2: Convert to fraction form
    14,969.23/20,656.68 = 8,254.87/x
  3. Step 3: Cross multiply
    14,969.23x = 20,656.68 × 8,254.87
  4. Step 4: Simplify right side
    14,969.23x = 170,518,208.03
  5. Step 5: Solve for x
    x = 170,518,208.03/14,969.23
  6. Step 6: Final answer
    x = 11,391.25

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1.5x scale

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.