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Finding the Fourth Proportional to 7,354.74, 10,149.30 and 4,210.32

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Solution

The fourth proportional to 7,354.74, 10,149.30 and 4,210.32 is: 5,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.74 : 10,149.30 = 4,210.32 : x
  2. Step 2: Convert to fraction form
    7,354.74/10,149.30 = 4,210.32/x
  3. Step 3: Cross multiply
    7,354.74x = 10,149.30 × 4,210.32
  4. Step 4: Simplify right side
    7,354.74x = 42,731,800.78
  5. Step 5: Solve for x
    x = 42,731,800.78/7,354.74
  6. Step 6: Final answer
    x = 5,810.10

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