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Finding the Fourth Proportional to 1,607.40, 2,408.40 and 1,510.20

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Solution

The fourth proportional to 1,607.40, 2,408.40 and 1,510.20 is: 2,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.40 : 2,408.40 = 1,510.20 : x
  2. Step 2: Convert to fraction form
    1,607.40/2,408.40 = 1,510.20/x
  3. Step 3: Cross multiply
    1,607.40x = 2,408.40 × 1,510.20
  4. Step 4: Simplify right side
    1,607.40x = 3,637,165.68
  5. Step 5: Solve for x
    x = 3,637,165.68/1,607.40
  6. Step 6: Final answer
    x = 2,262.76

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1.5x scale

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.