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Finding the Fourth Proportional to 22,705, 31,312.74 and 14,739.64

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Solution

The fourth proportional to 22,705, 31,312.74 and 14,739.64 is: 20,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705 : 31,312.74 = 14,739.64 : x
  2. Step 2: Convert to fraction form
    22,705/31,312.74 = 14,739.64/x
  3. Step 3: Cross multiply
    22,705x = 31,312.74 × 14,739.64
  4. Step 4: Simplify right side
    22,705x = 461,538,515.01
  5. Step 5: Solve for x
    x = 461,538,515.01/22,705
  6. Step 6: Final answer
    x = 20,327.62

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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.