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Finding the Fourth Proportional to 10,315, 14,236.50 and 6,123.16

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Solution

The fourth proportional to 10,315, 14,236.50 and 6,123.16 is: 8,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315 : 14,236.50 = 6,123.16 : x
  2. Step 2: Convert to fraction form
    10,315/14,236.50 = 6,123.16/x
  3. Step 3: Cross multiply
    10,315x = 14,236.50 × 6,123.16
  4. Step 4: Simplify right side
    10,315x = 87,172,367.34
  5. Step 5: Solve for x
    x = 87,172,367.34/10,315
  6. Step 6: Final answer
    x = 8,451.03

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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.