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Finding the Fourth Proportional to 30,477.80, 45,702.96 and 13,837.16

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Solution

The fourth proportional to 30,477.80, 45,702.96 and 13,837.16 is: 20,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.80 : 45,702.96 = 13,837.16 : x
  2. Step 2: Convert to fraction form
    30,477.80/45,702.96 = 13,837.16/x
  3. Step 3: Cross multiply
    30,477.80x = 45,702.96 × 13,837.16
  4. Step 4: Simplify right side
    30,477.80x = 632,399,169.99
  5. Step 5: Solve for x
    x = 632,399,169.99/30,477.80
  6. Step 6: Final answer
    x = 20,749.50

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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.