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Finding the Fourth Proportional to 47,600.16, 65,678.76 and 28,738.32

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Solution

The fourth proportional to 47,600.16, 65,678.76 and 28,738.32 is: 39,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600.16 : 65,678.76 = 28,738.32 : x
  2. Step 2: Convert to fraction form
    47,600.16/65,678.76 = 28,738.32/x
  3. Step 3: Cross multiply
    47,600.16x = 65,678.76 × 28,738.32
  4. Step 4: Simplify right side
    47,600.16x = 1,887,497,222.08
  5. Step 5: Solve for x
    x = 1,887,497,222.08/47,600.16
  6. Step 6: Final answer
    x = 39,653.17

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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.