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Finding the Fourth Proportional to 1,885.68, 2,602.92 and 1,535.76

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Solution

The fourth proportional to 1,885.68, 2,602.92 and 1,535.76 is: 2,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.68 : 2,602.92 = 1,535.76 : x
  2. Step 2: Convert to fraction form
    1,885.68/2,602.92 = 1,535.76/x
  3. Step 3: Cross multiply
    1,885.68x = 2,602.92 × 1,535.76
  4. Step 4: Simplify right side
    1,885.68x = 3,997,460.42
  5. Step 5: Solve for x
    x = 3,997,460.42/1,885.68
  6. Step 6: Final answer
    x = 2,119.90

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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.