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Finding the Fourth Proportional to 9,130, 13,695.84 and 2,556.18

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Solution

The fourth proportional to 9,130, 13,695.84 and 2,556.18 is: 3,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130 : 13,695.84 = 2,556.18 : x
  2. Step 2: Convert to fraction form
    9,130/13,695.84 = 2,556.18/x
  3. Step 3: Cross multiply
    9,130x = 13,695.84 × 2,556.18
  4. Step 4: Simplify right side
    9,130x = 35,009,032.29
  5. Step 5: Solve for x
    x = 35,009,032.29/9,130
  6. Step 6: Final answer
    x = 3,834.51

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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.