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Finding the Fourth Proportional to 5,299.31, 7,905.68 and 4,870.68

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Solution

The fourth proportional to 5,299.31, 7,905.68 and 4,870.68 is: 7,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.31 : 7,905.68 = 4,870.68 : x
  2. Step 2: Convert to fraction form
    5,299.31/7,905.68 = 4,870.68/x
  3. Step 3: Cross multiply
    5,299.31x = 7,905.68 × 4,870.68
  4. Step 4: Simplify right side
    5,299.31x = 38,506,013.11
  5. Step 5: Solve for x
    x = 38,506,013.11/5,299.31
  6. Step 6: Final answer
    x = 7,266.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.