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Finding the Fourth Proportional to 14,115.70, 19,471.08 and 8,447.32

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Solution

The fourth proportional to 14,115.70, 19,471.08 and 8,447.32 is: 11,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.70 : 19,471.08 = 8,447.32 : x
  2. Step 2: Convert to fraction form
    14,115.70/19,471.08 = 8,447.32/x
  3. Step 3: Cross multiply
    14,115.70x = 19,471.08 × 8,447.32
  4. Step 4: Simplify right side
    14,115.70x = 164,478,443.51
  5. Step 5: Solve for x
    x = 164,478,443.51/14,115.70
  6. Step 6: Final answer
    x = 11,652.16

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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.