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Finding the Fourth Proportional to 47,672.16, 65,778 and 28,810.32

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Solution

The fourth proportional to 47,672.16, 65,778 and 28,810.32 is: 39,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.16 : 65,778 = 28,810.32 : x
  2. Step 2: Convert to fraction form
    47,672.16/65,778 = 28,810.32/x
  3. Step 3: Cross multiply
    47,672.16x = 65,778 × 28,810.32
  4. Step 4: Simplify right side
    47,672.16x = 1,895,085,228.96
  5. Step 5: Solve for x
    x = 1,895,085,228.96/47,672.16
  6. Step 6: Final answer
    x = 39,752.45

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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.