Home / 1,510.12-2,084.07-920.50

Finding the Fourth Proportional to 1,510.12, 2,084.07 and 920.50

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Solution

The fourth proportional to 1,510.12, 2,084.07 and 920.50 is: 1,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.12 : 2,084.07 = 920.50 : x
  2. Step 2: Convert to fraction form
    1,510.12/2,084.07 = 920.50/x
  3. Step 3: Cross multiply
    1,510.12x = 2,084.07 × 920.50
  4. Step 4: Simplify right side
    1,510.12x = 1,918,386.44
  5. Step 5: Solve for x
    x = 1,918,386.44/1,510.12
  6. Step 6: Final answer
    x = 1,270.35

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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.