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Finding the Fourth Proportional to 28,038.98, 42,058.31 and 6,978.92

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Solution

The fourth proportional to 28,038.98, 42,058.31 and 6,978.92 is: 10,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038.98 : 42,058.31 = 6,978.92 : x
  2. Step 2: Convert to fraction form
    28,038.98/42,058.31 = 6,978.92/x
  3. Step 3: Cross multiply
    28,038.98x = 42,058.31 × 6,978.92
  4. Step 4: Simplify right side
    28,038.98x = 293,521,335.64
  5. Step 5: Solve for x
    x = 293,521,335.64/28,038.98
  6. Step 6: Final answer
    x = 10,468.33

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1.5x scale

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.