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Finding the Fourth Proportional to 10,191.42, 14,028 and 7,534.20

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Solution

The fourth proportional to 10,191.42, 14,028 and 7,534.20 is: 10,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.42 : 14,028 = 7,534.20 : x
  2. Step 2: Convert to fraction form
    10,191.42/14,028 = 7,534.20/x
  3. Step 3: Cross multiply
    10,191.42x = 14,028 × 7,534.20
  4. Step 4: Simplify right side
    10,191.42x = 105,689,757.60
  5. Step 5: Solve for x
    x = 105,689,757.60/10,191.42
  6. Step 6: Final answer
    x = 10,370.46

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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.