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Finding the Fourth Proportional to 9,900.07, 13,658.70 and 5,648.07

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Solution

The fourth proportional to 9,900.07, 13,658.70 and 5,648.07 is: 7,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.07 : 13,658.70 = 5,648.07 : x
  2. Step 2: Convert to fraction form
    9,900.07/13,658.70 = 5,648.07/x
  3. Step 3: Cross multiply
    9,900.07x = 13,658.70 × 5,648.07
  4. Step 4: Simplify right side
    9,900.07x = 77,145,293.71
  5. Step 5: Solve for x
    x = 77,145,293.71/9,900.07
  6. Step 6: Final answer
    x = 7,792.40

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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.