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Finding the Fourth Proportional to 5,164.70, 7,132 and 3,756.50

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Solution

The fourth proportional to 5,164.70, 7,132 and 3,756.50 is: 5,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.70 : 7,132 = 3,756.50 : x
  2. Step 2: Convert to fraction form
    5,164.70/7,132 = 3,756.50/x
  3. Step 3: Cross multiply
    5,164.70x = 7,132 × 3,756.50
  4. Step 4: Simplify right side
    5,164.70x = 26,791,358
  5. Step 5: Solve for x
    x = 26,791,358/5,164.70
  6. Step 6: Final answer
    x = 5,187.40

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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.