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Finding the Fourth Proportional to 11,430.64, 15,780.03 and 10,820.17

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Solution

The fourth proportional to 11,430.64, 15,780.03 and 10,820.17 is: 14,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.64 : 15,780.03 = 10,820.17 : x
  2. Step 2: Convert to fraction form
    11,430.64/15,780.03 = 10,820.17/x
  3. Step 3: Cross multiply
    11,430.64x = 15,780.03 × 10,820.17
  4. Step 4: Simplify right side
    11,430.64x = 170,742,607.21
  5. Step 5: Solve for x
    x = 170,742,607.21/11,430.64
  6. Step 6: Final answer
    x = 14,937.27

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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.