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Finding the Fourth Proportional to 31,017, 42,804 and 16,870.08

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Solution

The fourth proportional to 31,017, 42,804 and 16,870.08 is: 23,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017 : 42,804 = 16,870.08 : x
  2. Step 2: Convert to fraction form
    31,017/42,804 = 16,870.08/x
  3. Step 3: Cross multiply
    31,017x = 42,804 × 16,870.08
  4. Step 4: Simplify right side
    31,017x = 722,106,904.32
  5. Step 5: Solve for x
    x = 722,106,904.32/31,017
  6. Step 6: Final answer
    x = 23,281.00

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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.