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Finding the Fourth Proportional to 8,705.40, 13,058.10 and 5,416.80

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Solution

The fourth proportional to 8,705.40, 13,058.10 and 5,416.80 is: 8,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.40 : 13,058.10 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    8,705.40/13,058.10 = 5,416.80/x
  3. Step 3: Cross multiply
    8,705.40x = 13,058.10 × 5,416.80
  4. Step 4: Simplify right side
    8,705.40x = 70,733,116.08
  5. Step 5: Solve for x
    x = 70,733,116.08/8,705.40
  6. Step 6: Final answer
    x = 8,125.20

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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.