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Finding the Fourth Proportional to 15,130.40, 20,880.30 and 8,416.30

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Solution

The fourth proportional to 15,130.40, 20,880.30 and 8,416.30 is: 11,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.40 : 20,880.30 = 8,416.30 : x
  2. Step 2: Convert to fraction form
    15,130.40/20,880.30 = 8,416.30/x
  3. Step 3: Cross multiply
    15,130.40x = 20,880.30 × 8,416.30
  4. Step 4: Simplify right side
    15,130.40x = 175,734,868.89
  5. Step 5: Solve for x
    x = 175,734,868.89/15,130.40
  6. Step 6: Final answer
    x = 11,614.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.