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Finding the Fourth Proportional to 7,141.48, 9,859.62 and 5,655.40

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Solution

The fourth proportional to 7,141.48, 9,859.62 and 5,655.40 is: 7,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.48 : 9,859.62 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    7,141.48/9,859.62 = 5,655.40/x
  3. Step 3: Cross multiply
    7,141.48x = 9,859.62 × 5,655.40
  4. Step 4: Simplify right side
    7,141.48x = 55,760,094.95
  5. Step 5: Solve for x
    x = 55,760,094.95/7,141.48
  6. Step 6: Final answer
    x = 7,807.92

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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.