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Finding the Fourth Proportional to 5,980.72, 8,971.76 and 1,598.36

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Solution

The fourth proportional to 5,980.72, 8,971.76 and 1,598.36 is: 2,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.72 : 8,971.76 = 1,598.36 : x
  2. Step 2: Convert to fraction form
    5,980.72/8,971.76 = 1,598.36/x
  3. Step 3: Cross multiply
    5,980.72x = 8,971.76 × 1,598.36
  4. Step 4: Simplify right side
    5,980.72x = 14,340,102.31
  5. Step 5: Solve for x
    x = 14,340,102.31/5,980.72
  6. Step 6: Final answer
    x = 2,397.72

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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.