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Finding the Fourth Proportional to 2,047, 3,070.52 and 508

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Solution

The fourth proportional to 2,047, 3,070.52 and 508 is: 762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,070.52 = 508 : x
  2. Step 2: Convert to fraction form
    2,047/3,070.52 = 508/x
  3. Step 3: Cross multiply
    2,047x = 3,070.52 × 508
  4. Step 4: Simplify right side
    2,047x = 1,559,824.16
  5. Step 5: Solve for x
    x = 1,559,824.16/2,047
  6. Step 6: Final answer
    x = 762.00

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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.