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Finding the Fourth Proportional to 5,888.34, 8,832.50 and 1,505.80

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Solution

The fourth proportional to 5,888.34, 8,832.50 and 1,505.80 is: 2,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.34 : 8,832.50 = 1,505.80 : x
  2. Step 2: Convert to fraction form
    5,888.34/8,832.50 = 1,505.80/x
  3. Step 3: Cross multiply
    5,888.34x = 8,832.50 × 1,505.80
  4. Step 4: Simplify right side
    5,888.34x = 13,299,978.50
  5. Step 5: Solve for x
    x = 13,299,978.50/5,888.34
  6. Step 6: Final answer
    x = 2,258.70

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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.