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Finding the Fourth Proportional to 2,610, 3,601.80 and 1,506.64

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Solution

The fourth proportional to 2,610, 3,601.80 and 1,506.64 is: 2,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610 : 3,601.80 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    2,610/3,601.80 = 1,506.64/x
  3. Step 3: Cross multiply
    2,610x = 3,601.80 × 1,506.64
  4. Step 4: Simplify right side
    2,610x = 5,426,615.95
  5. Step 5: Solve for x
    x = 5,426,615.95/2,610
  6. Step 6: Final answer
    x = 2,079.16

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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.