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Finding the Fourth Proportional to 31,335.30, 46,978.28 and 15,529.47

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Solution

The fourth proportional to 31,335.30, 46,978.28 and 15,529.47 is: 23,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.30 : 46,978.28 = 15,529.47 : x
  2. Step 2: Convert to fraction form
    31,335.30/46,978.28 = 15,529.47/x
  3. Step 3: Cross multiply
    31,335.30x = 46,978.28 × 15,529.47
  4. Step 4: Simplify right side
    31,335.30x = 729,547,555.02
  5. Step 5: Solve for x
    x = 729,547,555.02/31,335.30
  6. Step 6: Final answer
    x = 23,281.98

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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.