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Finding the Fourth Proportional to 1,653.60, 2,459.13 and 1,601.70

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Solution

The fourth proportional to 1,653.60, 2,459.13 and 1,601.70 is: 2,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.60 : 2,459.13 = 1,601.70 : x
  2. Step 2: Convert to fraction form
    1,653.60/2,459.13 = 1,601.70/x
  3. Step 3: Cross multiply
    1,653.60x = 2,459.13 × 1,601.70
  4. Step 4: Simplify right side
    1,653.60x = 3,938,788.52
  5. Step 5: Solve for x
    x = 3,938,788.52/1,653.60
  6. Step 6: Final answer
    x = 2,381.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.