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Finding the Fourth Proportional to 10,648.08, 14,703.20 and 7,831.20

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Solution

The fourth proportional to 10,648.08, 14,703.20 and 7,831.20 is: 10,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.08 : 14,703.20 = 7,831.20 : x
  2. Step 2: Convert to fraction form
    10,648.08/14,703.20 = 7,831.20/x
  3. Step 3: Cross multiply
    10,648.08x = 14,703.20 × 7,831.20
  4. Step 4: Simplify right side
    10,648.08x = 115,143,699.84
  5. Step 5: Solve for x
    x = 115,143,699.84/10,648.08
  6. Step 6: Final answer
    x = 10,813.56

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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.