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Finding the Fourth Proportional to 10,530.74, 14,530.98 and 5,815.02

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Solution

The fourth proportional to 10,530.74, 14,530.98 and 5,815.02 is: 8,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.74 : 14,530.98 = 5,815.02 : x
  2. Step 2: Convert to fraction form
    10,530.74/14,530.98 = 5,815.02/x
  3. Step 3: Cross multiply
    10,530.74x = 14,530.98 × 5,815.02
  4. Step 4: Simplify right side
    10,530.74x = 84,497,939.32
  5. Step 5: Solve for x
    x = 84,497,939.32/10,530.74
  6. Step 6: Final answer
    x = 8,023.93

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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.