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Finding the Fourth Proportional to 47,699.60, 65,821.80 and 27,547.28

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Solution

The fourth proportional to 47,699.60, 65,821.80 and 27,547.28 is: 38,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.60 : 65,821.80 = 27,547.28 : x
  2. Step 2: Convert to fraction form
    47,699.60/65,821.80 = 27,547.28/x
  3. Step 3: Cross multiply
    47,699.60x = 65,821.80 × 27,547.28
  4. Step 4: Simplify right side
    47,699.60x = 1,813,211,554.70
  5. Step 5: Solve for x
    x = 1,813,211,554.70/47,699.60
  6. Step 6: Final answer
    x = 38,013.14

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1.5x scale

Why These Related Problems?

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