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Finding the Fourth Proportional to 1,681.58, 2,320.90 and 1,052.40

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Solution

The fourth proportional to 1,681.58, 2,320.90 and 1,052.40 is: 1,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.58 : 2,320.90 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    1,681.58/2,320.90 = 1,052.40/x
  3. Step 3: Cross multiply
    1,681.58x = 2,320.90 × 1,052.40
  4. Step 4: Simplify right side
    1,681.58x = 2,442,515.16
  5. Step 5: Solve for x
    x = 2,442,515.16/1,681.58
  6. Step 6: Final answer
    x = 1,452.51

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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.