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Finding the Fourth Proportional to 4,697.40, 6,480 and 3,811.68

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Solution

The fourth proportional to 4,697.40, 6,480 and 3,811.68 is: 5,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.40 : 6,480 = 3,811.68 : x
  2. Step 2: Convert to fraction form
    4,697.40/6,480 = 3,811.68/x
  3. Step 3: Cross multiply
    4,697.40x = 6,480 × 3,811.68
  4. Step 4: Simplify right side
    4,697.40x = 24,699,686.40
  5. Step 5: Solve for x
    x = 24,699,686.40/4,697.40
  6. Step 6: Final answer
    x = 5,258.16

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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.