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Finding the Fourth Proportional to 14,413.68, 19,894.68 and 9,938.16

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Solution

The fourth proportional to 14,413.68, 19,894.68 and 9,938.16 is: 13,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.68 : 19,894.68 = 9,938.16 : x
  2. Step 2: Convert to fraction form
    14,413.68/19,894.68 = 9,938.16/x
  3. Step 3: Cross multiply
    14,413.68x = 19,894.68 × 9,938.16
  4. Step 4: Simplify right side
    14,413.68x = 197,716,512.99
  5. Step 5: Solve for x
    x = 197,716,512.99/14,413.68
  6. Step 6: Final answer
    x = 13,717.28

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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.