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Finding the Fourth Proportional to 10,424.70, 14,386.11 and 5,644.70

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Solution

The fourth proportional to 10,424.70, 14,386.11 and 5,644.70 is: 7,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.70 : 14,386.11 = 5,644.70 : x
  2. Step 2: Convert to fraction form
    10,424.70/14,386.11 = 5,644.70/x
  3. Step 3: Cross multiply
    10,424.70x = 14,386.11 × 5,644.70
  4. Step 4: Simplify right side
    10,424.70x = 81,205,203.19
  5. Step 5: Solve for x
    x = 81,205,203.19/10,424.70
  6. Step 6: Final answer
    x = 7,789.69

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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.