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Finding the Fourth Proportional to 5,253.65, 7,880.47 and 1,357.75

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Solution

The fourth proportional to 5,253.65, 7,880.47 and 1,357.75 is: 2,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.65 : 7,880.47 = 1,357.75 : x
  2. Step 2: Convert to fraction form
    5,253.65/7,880.47 = 1,357.75/x
  3. Step 3: Cross multiply
    5,253.65x = 7,880.47 × 1,357.75
  4. Step 4: Simplify right side
    5,253.65x = 10,699,708.14
  5. Step 5: Solve for x
    x = 10,699,708.14/5,253.65
  6. Step 6: Final answer
    x = 2,036.62

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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.