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Finding the Fourth Proportional to 10,505.63, 14,497.81 and 5,789.81

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Solution

The fourth proportional to 10,505.63, 14,497.81 and 5,789.81 is: 7,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.63 : 14,497.81 = 5,789.81 : x
  2. Step 2: Convert to fraction form
    10,505.63/14,497.81 = 5,789.81/x
  3. Step 3: Cross multiply
    10,505.63x = 14,497.81 × 5,789.81
  4. Step 4: Simplify right side
    10,505.63x = 83,939,478.35
  5. Step 5: Solve for x
    x = 83,939,478.35/10,505.63
  6. Step 6: Final answer
    x = 7,989.96

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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.