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Finding the Fourth Proportional to 38,440, 53,047.20 and 20,776

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Solution

The fourth proportional to 38,440, 53,047.20 and 20,776 is: 28,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440 : 53,047.20 = 20,776 : x
  2. Step 2: Convert to fraction form
    38,440/53,047.20 = 20,776/x
  3. Step 3: Cross multiply
    38,440x = 53,047.20 × 20,776
  4. Step 4: Simplify right side
    38,440x = 1,102,108,627.20
  5. Step 5: Solve for x
    x = 1,102,108,627.20/38,440
  6. Step 6: Final answer
    x = 28,670.88

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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.