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Finding the Fourth Proportional to 5,962.64, 8,943.12 and 1,580.48

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Solution

The fourth proportional to 5,962.64, 8,943.12 and 1,580.48 is: 2,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.64 : 8,943.12 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    5,962.64/8,943.12 = 1,580.48/x
  3. Step 3: Cross multiply
    5,962.64x = 8,943.12 × 1,580.48
  4. Step 4: Simplify right side
    5,962.64x = 14,134,422.30
  5. Step 5: Solve for x
    x = 14,134,422.30/5,962.64
  6. Step 6: Final answer
    x = 2,370.50

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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.