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Finding the Fourth Proportional to 10,953.70, 16,430.55 and 9,969.55

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Solution

The fourth proportional to 10,953.70, 16,430.55 and 9,969.55 is: 14,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.70 : 16,430.55 = 9,969.55 : x
  2. Step 2: Convert to fraction form
    10,953.70/16,430.55 = 9,969.55/x
  3. Step 3: Cross multiply
    10,953.70x = 16,430.55 × 9,969.55
  4. Step 4: Simplify right side
    10,953.70x = 163,805,189.75
  5. Step 5: Solve for x
    x = 163,805,189.75/10,953.70
  6. Step 6: Final answer
    x = 14,954.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.