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Finding the Fourth Proportional to 5,319.89, 7,979.84 and 5,312.21

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Solution

The fourth proportional to 5,319.89, 7,979.84 and 5,312.21 is: 7,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.89 : 7,979.84 = 5,312.21 : x
  2. Step 2: Convert to fraction form
    5,319.89/7,979.84 = 5,312.21/x
  3. Step 3: Cross multiply
    5,319.89x = 7,979.84 × 5,312.21
  4. Step 4: Simplify right side
    5,319.89x = 42,390,539.31
  5. Step 5: Solve for x
    x = 42,390,539.31/5,319.89
  6. Step 6: Final answer
    x = 7,968.31

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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.