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Finding the Fourth Proportional to 31,955.60, 47,929.20 and 9,771.20

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Solution

The fourth proportional to 31,955.60, 47,929.20 and 9,771.20 is: 14,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955.60 : 47,929.20 = 9,771.20 : x
  2. Step 2: Convert to fraction form
    31,955.60/47,929.20 = 9,771.20/x
  3. Step 3: Cross multiply
    31,955.60x = 47,929.20 × 9,771.20
  4. Step 4: Simplify right side
    31,955.60x = 468,325,799.04
  5. Step 5: Solve for x
    x = 468,325,799.04/31,955.60
  6. Step 6: Final answer
    x = 14,655.52

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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.