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Finding the Fourth Proportional to 1,636.34, 2,258.17 and 973.17

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Solution

The fourth proportional to 1,636.34, 2,258.17 and 973.17 is: 1,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.34 : 2,258.17 = 973.17 : x
  2. Step 2: Convert to fraction form
    1,636.34/2,258.17 = 973.17/x
  3. Step 3: Cross multiply
    1,636.34x = 2,258.17 × 973.17
  4. Step 4: Simplify right side
    1,636.34x = 2,197,580.87
  5. Step 5: Solve for x
    x = 2,197,580.87/1,636.34
  6. Step 6: Final answer
    x = 1,342.99

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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.