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Finding the Fourth Proportional to 39,776, 59,664.36 and 12,074

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Solution

The fourth proportional to 39,776, 59,664.36 and 12,074 is: 18,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776 : 59,664.36 = 12,074 : x
  2. Step 2: Convert to fraction form
    39,776/59,664.36 = 12,074/x
  3. Step 3: Cross multiply
    39,776x = 59,664.36 × 12,074
  4. Step 4: Simplify right side
    39,776x = 720,387,482.64
  5. Step 5: Solve for x
    x = 720,387,482.64/39,776
  6. Step 6: Final answer
    x = 18,111.11

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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.