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Finding the Fourth Proportional to 52,435.40, 72,360.76 and 28,562

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Solution

The fourth proportional to 52,435.40, 72,360.76 and 28,562 is: 39,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,435.40 : 72,360.76 = 28,562 : x
  2. Step 2: Convert to fraction form
    52,435.40/72,360.76 = 28,562/x
  3. Step 3: Cross multiply
    52,435.40x = 72,360.76 × 28,562
  4. Step 4: Simplify right side
    52,435.40x = 2,066,768,027.12
  5. Step 5: Solve for x
    x = 2,066,768,027.12/52,435.40
  6. Step 6: Final answer
    x = 39,415.51

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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.