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Finding the Fourth Proportional to 13,547, 20,323.80 and 4,313

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Solution

The fourth proportional to 13,547, 20,323.80 and 4,313 is: 6,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547 : 20,323.80 = 4,313 : x
  2. Step 2: Convert to fraction form
    13,547/20,323.80 = 4,313/x
  3. Step 3: Cross multiply
    13,547x = 20,323.80 × 4,313
  4. Step 4: Simplify right side
    13,547x = 87,656,549.40
  5. Step 5: Solve for x
    x = 87,656,549.40/13,547
  6. Step 6: Final answer
    x = 6,470.55

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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.