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Finding the Fourth Proportional to 37,477, 51,718.40 and 20,710

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Solution

The fourth proportional to 37,477, 51,718.40 and 20,710 is: 28,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477 : 51,718.40 = 20,710 : x
  2. Step 2: Convert to fraction form
    37,477/51,718.40 = 20,710/x
  3. Step 3: Cross multiply
    37,477x = 51,718.40 × 20,710
  4. Step 4: Simplify right side
    37,477x = 1,071,088,064
  5. Step 5: Solve for x
    x = 1,071,088,064/37,477
  6. Step 6: Final answer
    x = 28,579.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.