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Finding the Fourth Proportional to 47,645.56, 65,750.76 and 26,428

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Solution

The fourth proportional to 47,645.56, 65,750.76 and 26,428 is: 36,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645.56 : 65,750.76 = 26,428 : x
  2. Step 2: Convert to fraction form
    47,645.56/65,750.76 = 26,428/x
  3. Step 3: Cross multiply
    47,645.56x = 65,750.76 × 26,428
  4. Step 4: Simplify right side
    47,645.56x = 1,737,661,085.28
  5. Step 5: Solve for x
    x = 1,737,661,085.28/47,645.56
  6. Step 6: Final answer
    x = 36,470.58

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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.