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Finding the Fourth Proportional to 10,484.87, 14,463.54 and 7,962.80

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Solution

The fourth proportional to 10,484.87, 14,463.54 and 7,962.80 is: 10,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.87 : 14,463.54 = 7,962.80 : x
  2. Step 2: Convert to fraction form
    10,484.87/14,463.54 = 7,962.80/x
  3. Step 3: Cross multiply
    10,484.87x = 14,463.54 × 7,962.80
  4. Step 4: Simplify right side
    10,484.87x = 115,170,276.31
  5. Step 5: Solve for x
    x = 115,170,276.31/10,484.87
  6. Step 6: Final answer
    x = 10,984.43

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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.