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Finding the Fourth Proportional to 15,948.32, 22,009.20 and 9,978.08

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Solution

The fourth proportional to 15,948.32, 22,009.20 and 9,978.08 is: 13,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.32 : 22,009.20 = 9,978.08 : x
  2. Step 2: Convert to fraction form
    15,948.32/22,009.20 = 9,978.08/x
  3. Step 3: Cross multiply
    15,948.32x = 22,009.20 × 9,978.08
  4. Step 4: Simplify right side
    15,948.32x = 219,609,558.34
  5. Step 5: Solve for x
    x = 219,609,558.34/15,948.32
  6. Step 6: Final answer
    x = 13,770.07

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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.