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Finding the Fourth Proportional to 4,948.16, 7,425.12 and 1,870.40

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Solution

The fourth proportional to 4,948.16, 7,425.12 and 1,870.40 is: 2,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.16 : 7,425.12 = 1,870.40 : x
  2. Step 2: Convert to fraction form
    4,948.16/7,425.12 = 1,870.40/x
  3. Step 3: Cross multiply
    4,948.16x = 7,425.12 × 1,870.40
  4. Step 4: Simplify right side
    4,948.16x = 13,887,944.45
  5. Step 5: Solve for x
    x = 13,887,944.45/4,948.16
  6. Step 6: Final answer
    x = 2,806.69

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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.