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Finding the Fourth Proportional to 1,653.13, 2,281.38 and 954.50

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Solution

The fourth proportional to 1,653.13, 2,281.38 and 954.50 is: 1,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.13 : 2,281.38 = 954.50 : x
  2. Step 2: Convert to fraction form
    1,653.13/2,281.38 = 954.50/x
  3. Step 3: Cross multiply
    1,653.13x = 2,281.38 × 954.50
  4. Step 4: Simplify right side
    1,653.13x = 2,177,577.21
  5. Step 5: Solve for x
    x = 2,177,577.21/1,653.13
  6. Step 6: Final answer
    x = 1,317.25

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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.