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Finding the Fourth Proportional to 2,574.88, 3,554.16 and 1,580.32

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Solution

The fourth proportional to 2,574.88, 3,554.16 and 1,580.32 is: 2,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.88 : 3,554.16 = 1,580.32 : x
  2. Step 2: Convert to fraction form
    2,574.88/3,554.16 = 1,580.32/x
  3. Step 3: Cross multiply
    2,574.88x = 3,554.16 × 1,580.32
  4. Step 4: Simplify right side
    2,574.88x = 5,616,710.13
  5. Step 5: Solve for x
    x = 5,616,710.13/2,574.88
  6. Step 6: Final answer
    x = 2,181.35

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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.