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Finding the Fourth Proportional to 37,622.92, 56,421.30 and 15,430

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Solution

The fourth proportional to 37,622.92, 56,421.30 and 15,430 is: 23,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622.92 : 56,421.30 = 15,430 : x
  2. Step 2: Convert to fraction form
    37,622.92/56,421.30 = 15,430/x
  3. Step 3: Cross multiply
    37,622.92x = 56,421.30 × 15,430
  4. Step 4: Simplify right side
    37,622.92x = 870,580,659
  5. Step 5: Solve for x
    x = 870,580,659/37,622.92
  6. Step 6: Final answer
    x = 23,139.64

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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.