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Finding the Fourth Proportional to 2,287.63, 3,156.88 and 1,501.63

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Solution

The fourth proportional to 2,287.63, 3,156.88 and 1,501.63 is: 2,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.63 : 3,156.88 = 1,501.63 : x
  2. Step 2: Convert to fraction form
    2,287.63/3,156.88 = 1,501.63/x
  3. Step 3: Cross multiply
    2,287.63x = 3,156.88 × 1,501.63
  4. Step 4: Simplify right side
    2,287.63x = 4,740,465.71
  5. Step 5: Solve for x
    x = 4,740,465.71/2,287.63
  6. Step 6: Final answer
    x = 2,072.22

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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.