Home / 1,413.51-2,117.17-864.02

Finding the Fourth Proportional to 1,413.51, 2,117.17 and 864.02

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Solution

The fourth proportional to 1,413.51, 2,117.17 and 864.02 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.51 : 2,117.17 = 864.02 : x
  2. Step 2: Convert to fraction form
    1,413.51/2,117.17 = 864.02/x
  3. Step 3: Cross multiply
    1,413.51x = 2,117.17 × 864.02
  4. Step 4: Simplify right side
    1,413.51x = 1,829,277.22
  5. Step 5: Solve for x
    x = 1,829,277.22/1,413.51
  6. Step 6: Final answer
    x = 1,294.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.