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Finding the Fourth Proportional to 7,713.65, 11,570.47 and 1,870.26

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Solution

The fourth proportional to 7,713.65, 11,570.47 and 1,870.26 is: 2,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.65 : 11,570.47 = 1,870.26 : x
  2. Step 2: Convert to fraction form
    7,713.65/11,570.47 = 1,870.26/x
  3. Step 3: Cross multiply
    7,713.65x = 11,570.47 × 1,870.26
  4. Step 4: Simplify right side
    7,713.65x = 21,639,720.02
  5. Step 5: Solve for x
    x = 21,639,720.02/7,713.65
  6. Step 6: Final answer
    x = 2,805.38

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1.5x scale

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.