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Finding the Fourth Proportional to 30,547.70, 45,807.17 and 11,836.50

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Solution

The fourth proportional to 30,547.70, 45,807.17 and 11,836.50 is: 17,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.70 : 45,807.17 = 11,836.50 : x
  2. Step 2: Convert to fraction form
    30,547.70/45,807.17 = 11,836.50/x
  3. Step 3: Cross multiply
    30,547.70x = 45,807.17 × 11,836.50
  4. Step 4: Simplify right side
    30,547.70x = 542,196,567.71
  5. Step 5: Solve for x
    x = 542,196,567.71/30,547.70
  6. Step 6: Final answer
    x = 17,749.18

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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.