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Finding the Fourth Proportional to 7,242.49, 9,995.79 and 4,259.05

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Solution

The fourth proportional to 7,242.49, 9,995.79 and 4,259.05 is: 5,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.49 : 9,995.79 = 4,259.05 : x
  2. Step 2: Convert to fraction form
    7,242.49/9,995.79 = 4,259.05/x
  3. Step 3: Cross multiply
    7,242.49x = 9,995.79 × 4,259.05
  4. Step 4: Simplify right side
    7,242.49x = 42,572,569.40
  5. Step 5: Solve for x
    x = 42,572,569.40/7,242.49
  6. Step 6: Final answer
    x = 5,878.17

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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.