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Finding the Fourth Proportional to 15,978.10, 23,967.15 and 6,616.84

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Solution

The fourth proportional to 15,978.10, 23,967.15 and 6,616.84 is: 9,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.10 : 23,967.15 = 6,616.84 : x
  2. Step 2: Convert to fraction form
    15,978.10/23,967.15 = 6,616.84/x
  3. Step 3: Cross multiply
    15,978.10x = 23,967.15 × 6,616.84
  4. Step 4: Simplify right side
    15,978.10x = 158,586,796.81
  5. Step 5: Solve for x
    x = 158,586,796.81/15,978.10
  6. Step 6: Final answer
    x = 9,925.26

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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.