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Finding the Fourth Proportional to 4,677.70, 7,017.70 and 1,557.70

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Solution

The fourth proportional to 4,677.70, 7,017.70 and 1,557.70 is: 2,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.70 : 7,017.70 = 1,557.70 : x
  2. Step 2: Convert to fraction form
    4,677.70/7,017.70 = 1,557.70/x
  3. Step 3: Cross multiply
    4,677.70x = 7,017.70 × 1,557.70
  4. Step 4: Simplify right side
    4,677.70x = 10,931,471.29
  5. Step 5: Solve for x
    x = 10,931,471.29/4,677.70
  6. Step 6: Final answer
    x = 2,336.93

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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.