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Finding the Fourth Proportional to 13,647.23, 18,831.65 and 7,678.77

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Solution

The fourth proportional to 13,647.23, 18,831.65 and 7,678.77 is: 10,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.23 : 18,831.65 = 7,678.77 : x
  2. Step 2: Convert to fraction form
    13,647.23/18,831.65 = 7,678.77/x
  3. Step 3: Cross multiply
    13,647.23x = 18,831.65 × 7,678.77
  4. Step 4: Simplify right side
    13,647.23x = 144,603,870.68
  5. Step 5: Solve for x
    x = 144,603,870.68/13,647.23
  6. Step 6: Final answer
    x = 10,595.84

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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.