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Finding the Fourth Proportional to 51,235.38, 70,703.37 and 28,575

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Solution

The fourth proportional to 51,235.38, 70,703.37 and 28,575 is: 39,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235.38 : 70,703.37 = 28,575 : x
  2. Step 2: Convert to fraction form
    51,235.38/70,703.37 = 28,575/x
  3. Step 3: Cross multiply
    51,235.38x = 70,703.37 × 28,575
  4. Step 4: Simplify right side
    51,235.38x = 2,020,348,797.75
  5. Step 5: Solve for x
    x = 2,020,348,797.75/51,235.38
  6. Step 6: Final answer
    x = 39,432.69

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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.