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Finding the Fourth Proportional to 5,253.50, 7,880.28 and 1,357.64

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Solution

The fourth proportional to 5,253.50, 7,880.28 and 1,357.64 is: 2,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.50 : 7,880.28 = 1,357.64 : x
  2. Step 2: Convert to fraction form
    5,253.50/7,880.28 = 1,357.64/x
  3. Step 3: Cross multiply
    5,253.50x = 7,880.28 × 1,357.64
  4. Step 4: Simplify right side
    5,253.50x = 10,698,583.34
  5. Step 5: Solve for x
    x = 10,698,583.34/5,253.50
  6. Step 6: Final answer
    x = 2,036.47

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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.