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Finding the Fourth Proportional to 2,527.64, 3,488.10 and 1,408.64

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Solution

The fourth proportional to 2,527.64, 3,488.10 and 1,408.64 is: 1,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.64 : 3,488.10 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    2,527.64/3,488.10 = 1,408.64/x
  3. Step 3: Cross multiply
    2,527.64x = 3,488.10 × 1,408.64
  4. Step 4: Simplify right side
    2,527.64x = 4,913,477.18
  5. Step 5: Solve for x
    x = 4,913,477.18/2,527.64
  6. Step 6: Final answer
    x = 1,943.90

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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.