Home / 1,413.18-1,951.16-972.14

Finding the Fourth Proportional to 1,413.18, 1,951.16 and 972.14

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Solution

The fourth proportional to 1,413.18, 1,951.16 and 972.14 is: 1,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.18 : 1,951.16 = 972.14 : x
  2. Step 2: Convert to fraction form
    1,413.18/1,951.16 = 972.14/x
  3. Step 3: Cross multiply
    1,413.18x = 1,951.16 × 972.14
  4. Step 4: Simplify right side
    1,413.18x = 1,896,786.07
  5. Step 5: Solve for x
    x = 1,896,786.07/1,413.18
  6. Step 6: Final answer
    x = 1,342.21

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Double scale
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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.