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Finding the Fourth Proportional to 7,042.40, 9,719.36 and 4,058.40

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Solution

The fourth proportional to 7,042.40, 9,719.36 and 4,058.40 is: 5,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.40 : 9,719.36 = 4,058.40 : x
  2. Step 2: Convert to fraction form
    7,042.40/9,719.36 = 4,058.40/x
  3. Step 3: Cross multiply
    7,042.40x = 9,719.36 × 4,058.40
  4. Step 4: Simplify right side
    7,042.40x = 39,445,050.62
  5. Step 5: Solve for x
    x = 39,445,050.62/7,042.40
  6. Step 6: Final answer
    x = 5,601.08

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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.