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Finding the Fourth Proportional to 38,140, 52,633.20 and 21,378.40

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Solution

The fourth proportional to 38,140, 52,633.20 and 21,378.40 is: 29,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,140 : 52,633.20 = 21,378.40 : x
  2. Step 2: Convert to fraction form
    38,140/52,633.20 = 21,378.40/x
  3. Step 3: Cross multiply
    38,140x = 52,633.20 × 21,378.40
  4. Step 4: Simplify right side
    38,140x = 1,125,213,602.88
  5. Step 5: Solve for x
    x = 1,125,213,602.88/38,140
  6. Step 6: Final answer
    x = 29,502.19

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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.