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Finding the Fourth Proportional to 13,034.74, 17,988 and 7,066.40

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Solution

The fourth proportional to 13,034.74, 17,988 and 7,066.40 is: 9,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.74 : 17,988 = 7,066.40 : x
  2. Step 2: Convert to fraction form
    13,034.74/17,988 = 7,066.40/x
  3. Step 3: Cross multiply
    13,034.74x = 17,988 × 7,066.40
  4. Step 4: Simplify right side
    13,034.74x = 127,110,403.20
  5. Step 5: Solve for x
    x = 127,110,403.20/13,034.74
  6. Step 6: Final answer
    x = 9,751.66

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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.