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Finding the Fourth Proportional to 47,575, 65,653.50 and 28,712.13

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Solution

The fourth proportional to 47,575, 65,653.50 and 28,712.13 is: 39,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,575 : 65,653.50 = 28,712.13 : x
  2. Step 2: Convert to fraction form
    47,575/65,653.50 = 28,712.13/x
  3. Step 3: Cross multiply
    47,575x = 65,653.50 × 28,712.13
  4. Step 4: Simplify right side
    47,575x = 1,885,051,826.96
  5. Step 5: Solve for x
    x = 1,885,051,826.96/47,575
  6. Step 6: Final answer
    x = 39,622.74

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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.