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Finding the Fourth Proportional to 7,525.40, 10,393.80 and 7,088

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Solution

The fourth proportional to 7,525.40, 10,393.80 and 7,088 is: 9,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.40 : 10,393.80 = 7,088 : x
  2. Step 2: Convert to fraction form
    7,525.40/10,393.80 = 7,088/x
  3. Step 3: Cross multiply
    7,525.40x = 10,393.80 × 7,088
  4. Step 4: Simplify right side
    7,525.40x = 73,671,254.40
  5. Step 5: Solve for x
    x = 73,671,254.40/7,525.40
  6. Step 6: Final answer
    x = 9,789.68

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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.