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Finding the Fourth Proportional to 7,447.40, 10,276.42 and 4,615.40

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Solution

The fourth proportional to 7,447.40, 10,276.42 and 4,615.40 is: 6,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.40 : 10,276.42 = 4,615.40 : x
  2. Step 2: Convert to fraction form
    7,447.40/10,276.42 = 4,615.40/x
  3. Step 3: Cross multiply
    7,447.40x = 10,276.42 × 4,615.40
  4. Step 4: Simplify right side
    7,447.40x = 47,429,788.87
  5. Step 5: Solve for x
    x = 47,429,788.87/7,447.40
  6. Step 6: Final answer
    x = 6,368.64

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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.