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Finding the Fourth Proportional to 1,191.61, 1,652.10 and 1,129.34

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Solution

The fourth proportional to 1,191.61, 1,652.10 and 1,129.34 is: 1,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.61 : 1,652.10 = 1,129.34 : x
  2. Step 2: Convert to fraction form
    1,191.61/1,652.10 = 1,129.34/x
  3. Step 3: Cross multiply
    1,191.61x = 1,652.10 × 1,129.34
  4. Step 4: Simplify right side
    1,191.61x = 1,865,782.51
  5. Step 5: Solve for x
    x = 1,865,782.51/1,191.61
  6. Step 6: Final answer
    x = 1,565.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.