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Finding the Fourth Proportional to 39,820, 59,730 and 12,118

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Solution

The fourth proportional to 39,820, 59,730 and 12,118 is: 18,177

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820 : 59,730 = 12,118 : x
  2. Step 2: Convert to fraction form
    39,820/59,730 = 12,118/x
  3. Step 3: Cross multiply
    39,820x = 59,730 × 12,118
  4. Step 4: Simplify right side
    39,820x = 723,808,140
  5. Step 5: Solve for x
    x = 723,808,140/39,820
  6. Step 6: Final answer
    x = 18,177

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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.