Home / 1,654.16-2,477.80-1,132.40

Finding the Fourth Proportional to 1,654.16, 2,477.80 and 1,132.40

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Solution

The fourth proportional to 1,654.16, 2,477.80 and 1,132.40 is: 1,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.16 : 2,477.80 = 1,132.40 : x
  2. Step 2: Convert to fraction form
    1,654.16/2,477.80 = 1,132.40/x
  3. Step 3: Cross multiply
    1,654.16x = 2,477.80 × 1,132.40
  4. Step 4: Simplify right side
    1,654.16x = 2,805,860.72
  5. Step 5: Solve for x
    x = 2,805,860.72/1,654.16
  6. Step 6: Final answer
    x = 1,696.25

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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.