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Finding the Fourth Proportional to 1,532.09, 2,113.49 and 902.31

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Solution

The fourth proportional to 1,532.09, 2,113.49 and 902.31 is: 1,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.09 : 2,113.49 = 902.31 : x
  2. Step 2: Convert to fraction form
    1,532.09/2,113.49 = 902.31/x
  3. Step 3: Cross multiply
    1,532.09x = 2,113.49 × 902.31
  4. Step 4: Simplify right side
    1,532.09x = 1,907,018.65
  5. Step 5: Solve for x
    x = 1,907,018.65/1,532.09
  6. Step 6: Final answer
    x = 1,244.72

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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.