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Finding the Fourth Proportional to 31,785.54, 47,678.54 and 14,686.84

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Solution

The fourth proportional to 31,785.54, 47,678.54 and 14,686.84 is: 22,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.54 : 47,678.54 = 14,686.84 : x
  2. Step 2: Convert to fraction form
    31,785.54/47,678.54 = 14,686.84/x
  3. Step 3: Cross multiply
    31,785.54x = 47,678.54 × 14,686.84
  4. Step 4: Simplify right side
    31,785.54x = 700,247,088.41
  5. Step 5: Solve for x
    x = 700,247,088.41/31,785.54
  6. Step 6: Final answer
    x = 22,030.37

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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.