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Finding the Fourth Proportional to 30,452.64, 45,656.16 and 12,911.20

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Solution

The fourth proportional to 30,452.64, 45,656.16 and 12,911.20 is: 19,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.64 : 45,656.16 = 12,911.20 : x
  2. Step 2: Convert to fraction form
    30,452.64/45,656.16 = 12,911.20/x
  3. Step 3: Cross multiply
    30,452.64x = 45,656.16 × 12,911.20
  4. Step 4: Simplify right side
    30,452.64x = 589,475,812.99
  5. Step 5: Solve for x
    x = 589,475,812.99/30,452.64
  6. Step 6: Final answer
    x = 19,357.13

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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.