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Finding the Fourth Proportional to 13,045.51, 18,002.82 and 7,077.20

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Solution

The fourth proportional to 13,045.51, 18,002.82 and 7,077.20 is: 9,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.51 : 18,002.82 = 7,077.20 : x
  2. Step 2: Convert to fraction form
    13,045.51/18,002.82 = 7,077.20/x
  3. Step 3: Cross multiply
    13,045.51x = 18,002.82 × 7,077.20
  4. Step 4: Simplify right side
    13,045.51x = 127,409,494.23
  5. Step 5: Solve for x
    x = 127,409,494.23/13,045.51
  6. Step 6: Final answer
    x = 9,766.54

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1.5x scale

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.