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Finding the Fourth Proportional to 7,301, 10,948.92 and 2,917.28

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Solution

The fourth proportional to 7,301, 10,948.92 and 2,917.28 is: 4,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301 : 10,948.92 = 2,917.28 : x
  2. Step 2: Convert to fraction form
    7,301/10,948.92 = 2,917.28/x
  3. Step 3: Cross multiply
    7,301x = 10,948.92 × 2,917.28
  4. Step 4: Simplify right side
    7,301x = 31,941,065.34
  5. Step 5: Solve for x
    x = 31,941,065.34/7,301
  6. Step 6: Final answer
    x = 4,374.89

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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.