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Finding the Fourth Proportional to 15,978.24, 22,055.76 and 9,690.48

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Solution

The fourth proportional to 15,978.24, 22,055.76 and 9,690.48 is: 13,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.24 : 22,055.76 = 9,690.48 : x
  2. Step 2: Convert to fraction form
    15,978.24/22,055.76 = 9,690.48/x
  3. Step 3: Cross multiply
    15,978.24x = 22,055.76 × 9,690.48
  4. Step 4: Simplify right side
    15,978.24x = 213,730,901.16
  5. Step 5: Solve for x
    x = 213,730,901.16/15,978.24
  6. Step 6: Final answer
    x = 13,376.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.