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Finding the Fourth Proportional to 7,860.55, 10,837.28 and 5,705.16

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Solution

The fourth proportional to 7,860.55, 10,837.28 and 5,705.16 is: 7,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.55 : 10,837.28 = 5,705.16 : x
  2. Step 2: Convert to fraction form
    7,860.55/10,837.28 = 5,705.16/x
  3. Step 3: Cross multiply
    7,860.55x = 10,837.28 × 5,705.16
  4. Step 4: Simplify right side
    7,860.55x = 61,828,333.65
  5. Step 5: Solve for x
    x = 61,828,333.65/7,860.55
  6. Step 6: Final answer
    x = 7,865.65

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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.