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Finding the Fourth Proportional to 10,644.77, 14,671.77 and 7,281.78

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Solution

The fourth proportional to 10,644.77, 14,671.77 and 7,281.78 is: 10,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.77 : 14,671.77 = 7,281.78 : x
  2. Step 2: Convert to fraction form
    10,644.77/14,671.77 = 7,281.78/x
  3. Step 3: Cross multiply
    10,644.77x = 14,671.77 × 7,281.78
  4. Step 4: Simplify right side
    10,644.77x = 106,836,601.35
  5. Step 5: Solve for x
    x = 106,836,601.35/10,644.77
  6. Step 6: Final answer
    x = 10,036.54

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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.