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Finding the Fourth Proportional to 12,897.60, 17,798.64 and 7,232.28

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Solution

The fourth proportional to 12,897.60, 17,798.64 and 7,232.28 is: 9,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.60 : 17,798.64 = 7,232.28 : x
  2. Step 2: Convert to fraction form
    12,897.60/17,798.64 = 7,232.28/x
  3. Step 3: Cross multiply
    12,897.60x = 17,798.64 × 7,232.28
  4. Step 4: Simplify right side
    12,897.60x = 128,724,748.10
  5. Step 5: Solve for x
    x = 128,724,748.10/12,897.60
  6. Step 6: Final answer
    x = 9,980.52

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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.