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Finding the Fourth Proportional to 7,034.13, 10,551.80 and 1,840

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Solution

The fourth proportional to 7,034.13, 10,551.80 and 1,840 is: 2,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.13 : 10,551.80 = 1,840 : x
  2. Step 2: Convert to fraction form
    7,034.13/10,551.80 = 1,840/x
  3. Step 3: Cross multiply
    7,034.13x = 10,551.80 × 1,840
  4. Step 4: Simplify right side
    7,034.13x = 19,415,312
  5. Step 5: Solve for x
    x = 19,415,312/7,034.13
  6. Step 6: Final answer
    x = 2,760.16

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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.