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Finding the Fourth Proportional to 8,742.60, 12,064.86 and 4,763.84

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Solution

The fourth proportional to 8,742.60, 12,064.86 and 4,763.84 is: 6,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.60 : 12,064.86 = 4,763.84 : x
  2. Step 2: Convert to fraction form
    8,742.60/12,064.86 = 4,763.84/x
  3. Step 3: Cross multiply
    8,742.60x = 12,064.86 × 4,763.84
  4. Step 4: Simplify right side
    8,742.60x = 57,475,002.34
  5. Step 5: Solve for x
    x = 57,475,002.34/8,742.60
  6. Step 6: Final answer
    x = 6,574.13

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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.