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Finding the Fourth Proportional to 10,475, 14,450.60 and 6,494.66

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Solution

The fourth proportional to 10,475, 14,450.60 and 6,494.66 is: 8,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475 : 14,450.60 = 6,494.66 : x
  2. Step 2: Convert to fraction form
    10,475/14,450.60 = 6,494.66/x
  3. Step 3: Cross multiply
    10,475x = 14,450.60 × 6,494.66
  4. Step 4: Simplify right side
    10,475x = 93,851,733.80
  5. Step 5: Solve for x
    x = 93,851,733.80/10,475
  6. Step 6: Final answer
    x = 8,959.59

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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.