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Finding the Fourth Proportional to 7,056.64, 9,738.08 and 3,870.10

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Solution

The fourth proportional to 7,056.64, 9,738.08 and 3,870.10 is: 5,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.64 : 9,738.08 = 3,870.10 : x
  2. Step 2: Convert to fraction form
    7,056.64/9,738.08 = 3,870.10/x
  3. Step 3: Cross multiply
    7,056.64x = 9,738.08 × 3,870.10
  4. Step 4: Simplify right side
    7,056.64x = 37,687,343.41
  5. Step 5: Solve for x
    x = 37,687,343.41/7,056.64
  6. Step 6: Final answer
    x = 5,340.69

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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.