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Finding the Fourth Proportional to 9,765.60, 14,637.60 and 5,386.20

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Solution

The fourth proportional to 9,765.60, 14,637.60 and 5,386.20 is: 8,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.60 : 14,637.60 = 5,386.20 : x
  2. Step 2: Convert to fraction form
    9,765.60/14,637.60 = 5,386.20/x
  3. Step 3: Cross multiply
    9,765.60x = 14,637.60 × 5,386.20
  4. Step 4: Simplify right side
    9,765.60x = 78,841,041.12
  5. Step 5: Solve for x
    x = 78,841,041.12/9,765.60
  6. Step 6: Final answer
    x = 8,073.34

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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.