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Finding the Fourth Proportional to 7,281.69, 10,921.47 and 3,582.93

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Solution

The fourth proportional to 7,281.69, 10,921.47 and 3,582.93 is: 5,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.69 : 10,921.47 = 3,582.93 : x
  2. Step 2: Convert to fraction form
    7,281.69/10,921.47 = 3,582.93/x
  3. Step 3: Cross multiply
    7,281.69x = 10,921.47 × 3,582.93
  4. Step 4: Simplify right side
    7,281.69x = 39,130,862.51
  5. Step 5: Solve for x
    x = 39,130,862.51/7,281.69
  6. Step 6: Final answer
    x = 5,373.87

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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.