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Finding the Fourth Proportional to 31,130, 42,959.40 and 19,952

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Solution

The fourth proportional to 31,130, 42,959.40 and 19,952 is: 27,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130 : 42,959.40 = 19,952 : x
  2. Step 2: Convert to fraction form
    31,130/42,959.40 = 19,952/x
  3. Step 3: Cross multiply
    31,130x = 42,959.40 × 19,952
  4. Step 4: Simplify right side
    31,130x = 857,125,948.80
  5. Step 5: Solve for x
    x = 857,125,948.80/31,130
  6. Step 6: Final answer
    x = 27,533.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.