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Finding the Fourth Proportional to 9,853.68, 13,603.10 and 7,610.52

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Solution

The fourth proportional to 9,853.68, 13,603.10 and 7,610.52 is: 10,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.68 : 13,603.10 = 7,610.52 : x
  2. Step 2: Convert to fraction form
    9,853.68/13,603.10 = 7,610.52/x
  3. Step 3: Cross multiply
    9,853.68x = 13,603.10 × 7,610.52
  4. Step 4: Simplify right side
    9,853.68x = 103,526,626.56
  5. Step 5: Solve for x
    x = 103,526,626.56/9,853.68
  6. Step 6: Final answer
    x = 10,506.39

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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.