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Finding the Fourth Proportional to 31,030.40, 46,547.40 and 8,845.40

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Solution

The fourth proportional to 31,030.40, 46,547.40 and 8,845.40 is: 13,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.40 : 46,547.40 = 8,845.40 : x
  2. Step 2: Convert to fraction form
    31,030.40/46,547.40 = 8,845.40/x
  3. Step 3: Cross multiply
    31,030.40x = 46,547.40 × 8,845.40
  4. Step 4: Simplify right side
    31,030.40x = 411,730,371.96
  5. Step 5: Solve for x
    x = 411,730,371.96/31,030.40
  6. Step 6: Final answer
    x = 13,268.61

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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.