Home / 7,870.16-11,802.51-2,322.02

Finding the Fourth Proportional to 7,870.16, 11,802.51 and 2,322.02

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Solution

The fourth proportional to 7,870.16, 11,802.51 and 2,322.02 is: 3,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.16 : 11,802.51 = 2,322.02 : x
  2. Step 2: Convert to fraction form
    7,870.16/11,802.51 = 2,322.02/x
  3. Step 3: Cross multiply
    7,870.16x = 11,802.51 × 2,322.02
  4. Step 4: Simplify right side
    7,870.16x = 27,405,627.39
  5. Step 5: Solve for x
    x = 27,405,627.39/7,870.16
  6. Step 6: Final answer
    x = 3,482.22

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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.