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Finding the Fourth Proportional to 1,865.76, 2,571.24 and 1,532.16

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Solution

The fourth proportional to 1,865.76, 2,571.24 and 1,532.16 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.76 : 2,571.24 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    1,865.76/2,571.24 = 1,532.16/x
  3. Step 3: Cross multiply
    1,865.76x = 2,571.24 × 1,532.16
  4. Step 4: Simplify right side
    1,865.76x = 3,939,551.08
  5. Step 5: Solve for x
    x = 3,939,551.08/1,865.76
  6. Step 6: Final answer
    x = 2,111.50

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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.