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Finding the Fourth Proportional to 5,300.68, 7,951.02 and 1,405.66

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Solution

The fourth proportional to 5,300.68, 7,951.02 and 1,405.66 is: 2,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.68 : 7,951.02 = 1,405.66 : x
  2. Step 2: Convert to fraction form
    5,300.68/7,951.02 = 1,405.66/x
  3. Step 3: Cross multiply
    5,300.68x = 7,951.02 × 1,405.66
  4. Step 4: Simplify right side
    5,300.68x = 11,176,430.77
  5. Step 5: Solve for x
    x = 11,176,430.77/5,300.68
  6. Step 6: Final answer
    x = 2,108.49

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Similar ratio
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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.