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Finding the Fourth Proportional to 7,615.40, 10,509.78 and 5,490.12

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Solution

The fourth proportional to 7,615.40, 10,509.78 and 5,490.12 is: 7,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.40 : 10,509.78 = 5,490.12 : x
  2. Step 2: Convert to fraction form
    7,615.40/10,509.78 = 5,490.12/x
  3. Step 3: Cross multiply
    7,615.40x = 10,509.78 × 5,490.12
  4. Step 4: Simplify right side
    7,615.40x = 57,699,953.37
  5. Step 5: Solve for x
    x = 57,699,953.37/7,615.40
  6. Step 6: Final answer
    x = 7,576.75

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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.