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Finding the Fourth Proportional to 2,824.74, 4,235.76 and 875.88

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Solution

The fourth proportional to 2,824.74, 4,235.76 and 875.88 is: 1,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.74 : 4,235.76 = 875.88 : x
  2. Step 2: Convert to fraction form
    2,824.74/4,235.76 = 875.88/x
  3. Step 3: Cross multiply
    2,824.74x = 4,235.76 × 875.88
  4. Step 4: Simplify right side
    2,824.74x = 3,710,017.47
  5. Step 5: Solve for x
    x = 3,710,017.47/2,824.74
  6. Step 6: Final answer
    x = 1,313.40

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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.