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Finding the Fourth Proportional to 7,153, 9,871.55 and 4,010.20

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Solution

The fourth proportional to 7,153, 9,871.55 and 4,010.20 is: 5,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153 : 9,871.55 = 4,010.20 : x
  2. Step 2: Convert to fraction form
    7,153/9,871.55 = 4,010.20/x
  3. Step 3: Cross multiply
    7,153x = 9,871.55 × 4,010.20
  4. Step 4: Simplify right side
    7,153x = 39,586,889.81
  5. Step 5: Solve for x
    x = 39,586,889.81/7,153
  6. Step 6: Final answer
    x = 5,534.31

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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.