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Finding the Fourth Proportional to 9,482.40, 13,019.40 and 7,700.40

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Solution

The fourth proportional to 9,482.40, 13,019.40 and 7,700.40 is: 10,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.40 : 13,019.40 = 7,700.40 : x
  2. Step 2: Convert to fraction form
    9,482.40/13,019.40 = 7,700.40/x
  3. Step 3: Cross multiply
    9,482.40x = 13,019.40 × 7,700.40
  4. Step 4: Simplify right side
    9,482.40x = 100,254,587.76
  5. Step 5: Solve for x
    x = 100,254,587.76/9,482.40
  6. Step 6: Final answer
    x = 10,572.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.