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Finding the Fourth Proportional to 1,527.47, 2,108.01 and 864.08

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Solution

The fourth proportional to 1,527.47, 2,108.01 and 864.08 is: 1,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.47 : 2,108.01 = 864.08 : x
  2. Step 2: Convert to fraction form
    1,527.47/2,108.01 = 864.08/x
  3. Step 3: Cross multiply
    1,527.47x = 2,108.01 × 864.08
  4. Step 4: Simplify right side
    1,527.47x = 1,821,489.28
  5. Step 5: Solve for x
    x = 1,821,489.28/1,527.47
  6. Step 6: Final answer
    x = 1,192.49

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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.