Home / 1,413.46-2,117.40-1,307.13

Finding the Fourth Proportional to 1,413.46, 2,117.40 and 1,307.13

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Solution

The fourth proportional to 1,413.46, 2,117.40 and 1,307.13 is: 1,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.46 : 2,117.40 = 1,307.13 : x
  2. Step 2: Convert to fraction form
    1,413.46/2,117.40 = 1,307.13/x
  3. Step 3: Cross multiply
    1,413.46x = 2,117.40 × 1,307.13
  4. Step 4: Simplify right side
    1,413.46x = 2,767,717.06
  5. Step 5: Solve for x
    x = 2,767,717.06/1,413.46
  6. Step 6: Final answer
    x = 1,958.11

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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.