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Finding the Fourth Proportional to 9,909.85, 13,675.74 and 5,931.13

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Solution

The fourth proportional to 9,909.85, 13,675.74 and 5,931.13 is: 8,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.85 : 13,675.74 = 5,931.13 : x
  2. Step 2: Convert to fraction form
    9,909.85/13,675.74 = 5,931.13/x
  3. Step 3: Cross multiply
    9,909.85x = 13,675.74 × 5,931.13
  4. Step 4: Simplify right side
    9,909.85x = 81,112,591.79
  5. Step 5: Solve for x
    x = 81,112,591.79/9,909.85
  6. Step 6: Final answer
    x = 8,185.05

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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.