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Finding the Fourth Proportional to 12,901.74, 17,783.82 and 9,710.24

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Solution

The fourth proportional to 12,901.74, 17,783.82 and 9,710.24 is: 13,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.74 : 17,783.82 = 9,710.24 : x
  2. Step 2: Convert to fraction form
    12,901.74/17,783.82 = 9,710.24/x
  3. Step 3: Cross multiply
    12,901.74x = 17,783.82 × 9,710.24
  4. Step 4: Simplify right side
    12,901.74x = 172,685,071.40
  5. Step 5: Solve for x
    x = 172,685,071.40/12,901.74
  6. Step 6: Final answer
    x = 13,384.64

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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.