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Finding the Fourth Proportional to 1,643.01, 2,462.55 and 948.24

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Solution

The fourth proportional to 1,643.01, 2,462.55 and 948.24 is: 1,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.01 : 2,462.55 = 948.24 : x
  2. Step 2: Convert to fraction form
    1,643.01/2,462.55 = 948.24/x
  3. Step 3: Cross multiply
    1,643.01x = 2,462.55 × 948.24
  4. Step 4: Simplify right side
    1,643.01x = 2,335,088.41
  5. Step 5: Solve for x
    x = 2,335,088.41/1,643.01
  6. Step 6: Final answer
    x = 1,421.23

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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.