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Finding the Fourth Proportional to 15,130.68, 20,878.10 and 8,416.40

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Solution

The fourth proportional to 15,130.68, 20,878.10 and 8,416.40 is: 11,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.68 : 20,878.10 = 8,416.40 : x
  2. Step 2: Convert to fraction form
    15,130.68/20,878.10 = 8,416.40/x
  3. Step 3: Cross multiply
    15,130.68x = 20,878.10 × 8,416.40
  4. Step 4: Simplify right side
    15,130.68x = 175,718,294.37
  5. Step 5: Solve for x
    x = 175,718,294.37/15,130.68
  6. Step 6: Final answer
    x = 11,613.38

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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.