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Finding the Fourth Proportional to 30,509.40, 45,781.02 and 14,927.16

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Solution

The fourth proportional to 30,509.40, 45,781.02 and 14,927.16 is: 22,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.40 : 45,781.02 = 14,927.16 : x
  2. Step 2: Convert to fraction form
    30,509.40/45,781.02 = 14,927.16/x
  3. Step 3: Cross multiply
    30,509.40x = 45,781.02 × 14,927.16
  4. Step 4: Simplify right side
    30,509.40x = 683,380,610.50
  5. Step 5: Solve for x
    x = 683,380,610.50/30,509.40
  6. Step 6: Final answer
    x = 22,399.02

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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.