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Finding the Fourth Proportional to 31,883.64, 47,827.32 and 9,697.80

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Solution

The fourth proportional to 31,883.64, 47,827.32 and 9,697.80 is: 14,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.64 : 47,827.32 = 9,697.80 : x
  2. Step 2: Convert to fraction form
    31,883.64/47,827.32 = 9,697.80/x
  3. Step 3: Cross multiply
    31,883.64x = 47,827.32 × 9,697.80
  4. Step 4: Simplify right side
    31,883.64x = 463,819,783.90
  5. Step 5: Solve for x
    x = 463,819,783.90/31,883.64
  6. Step 6: Final answer
    x = 14,547.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.