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Finding the Fourth Proportional to 30,557.60, 45,821.28 and 9,778.40

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Solution

The fourth proportional to 30,557.60, 45,821.28 and 9,778.40 is: 14,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.60 : 45,821.28 = 9,778.40 : x
  2. Step 2: Convert to fraction form
    30,557.60/45,821.28 = 9,778.40/x
  3. Step 3: Cross multiply
    30,557.60x = 45,821.28 × 9,778.40
  4. Step 4: Simplify right side
    30,557.60x = 448,058,804.35
  5. Step 5: Solve for x
    x = 448,058,804.35/30,557.60
  6. Step 6: Final answer
    x = 14,662.76

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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.