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Finding the Fourth Proportional to 3,047.18, 4,570.95 and 856.08

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Solution

The fourth proportional to 3,047.18, 4,570.95 and 856.08 is: 1,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.18 : 4,570.95 = 856.08 : x
  2. Step 2: Convert to fraction form
    3,047.18/4,570.95 = 856.08/x
  3. Step 3: Cross multiply
    3,047.18x = 4,570.95 × 856.08
  4. Step 4: Simplify right side
    3,047.18x = 3,913,108.25
  5. Step 5: Solve for x
    x = 3,913,108.25/3,047.18
  6. Step 6: Final answer
    x = 1,284.17

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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.