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Finding the Fourth Proportional to 14,265.60, 19,686.48 and 7,978.04

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Solution

The fourth proportional to 14,265.60, 19,686.48 and 7,978.04 is: 11,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.60 : 19,686.48 = 7,978.04 : x
  2. Step 2: Convert to fraction form
    14,265.60/19,686.48 = 7,978.04/x
  3. Step 3: Cross multiply
    14,265.60x = 19,686.48 × 7,978.04
  4. Step 4: Simplify right side
    14,265.60x = 157,059,524.90
  5. Step 5: Solve for x
    x = 157,059,524.90/14,265.60
  6. Step 6: Final answer
    x = 11,009.67

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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.