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Finding the Fourth Proportional to 8,670.40, 13,015.20 and 8,106.40

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Solution

The fourth proportional to 8,670.40, 13,015.20 and 8,106.40 is: 12,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.40 : 13,015.20 = 8,106.40 : x
  2. Step 2: Convert to fraction form
    8,670.40/13,015.20 = 8,106.40/x
  3. Step 3: Cross multiply
    8,670.40x = 13,015.20 × 8,106.40
  4. Step 4: Simplify right side
    8,670.40x = 105,506,417.28
  5. Step 5: Solve for x
    x = 105,506,417.28/8,670.40
  6. Step 6: Final answer
    x = 12,168.58

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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.