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Finding the Fourth Proportional to 10,400.16, 15,595.20 and 5,203.20

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Solution

The fourth proportional to 10,400.16, 15,595.20 and 5,203.20 is: 7,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.16 : 15,595.20 = 5,203.20 : x
  2. Step 2: Convert to fraction form
    10,400.16/15,595.20 = 5,203.20/x
  3. Step 3: Cross multiply
    10,400.16x = 15,595.20 × 5,203.20
  4. Step 4: Simplify right side
    10,400.16x = 81,144,944.64
  5. Step 5: Solve for x
    x = 81,144,944.64/10,400.16
  6. Step 6: Final answer
    x = 7,802.28

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1.5x scale

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.