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Finding the Fourth Proportional to 3,142.95, 4,714.10 and 1,582.32

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Solution

The fourth proportional to 3,142.95, 4,714.10 and 1,582.32 is: 2,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.95 : 4,714.10 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    3,142.95/4,714.10 = 1,582.32/x
  3. Step 3: Cross multiply
    3,142.95x = 4,714.10 × 1,582.32
  4. Step 4: Simplify right side
    3,142.95x = 7,459,206.80
  5. Step 5: Solve for x
    x = 7,459,206.80/3,142.95
  6. Step 6: Final answer
    x = 2,373.31

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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.