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Finding the Fourth Proportional to 37,678.40, 56,420.40 and 29,902.40

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Solution

The fourth proportional to 37,678.40, 56,420.40 and 29,902.40 is: 44,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.40 : 56,420.40 = 29,902.40 : x
  2. Step 2: Convert to fraction form
    37,678.40/56,420.40 = 29,902.40/x
  3. Step 3: Cross multiply
    37,678.40x = 56,420.40 × 29,902.40
  4. Step 4: Simplify right side
    37,678.40x = 1,687,105,368.96
  5. Step 5: Solve for x
    x = 1,687,105,368.96/37,678.40
  6. Step 6: Final answer
    x = 44,776.46

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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.